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Bulletin (New Series) of the American Mathematical Society

Marston Morse and his mathematical works

Raoul Bott

Source: Bull. Amer. Math. Soc. (N.S.) Volume 3, Number 3 (1980), 907-950.

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bams/1183547681
Mathematical Reviews number (MathSciNet): MR585177
Zentralblatt MATH identifier: 0469.01012

References

1. Marston Morse, Proof of a general theorem on the linear dependence of P analytic functions of a single variable, Bull. Amer. Math. Soc. 23 (1916), 114-117.
Jahrbuch database (Zbl): 46.0532.05
2. Marston Morse, A one-to-one representation of geodesics on a surface of negative curvature, Amer. J. Math. 43 (1921), 33-51.
Jahrbuch database (Zbl): 48.0786.05
Mathematical Reviews (MathSciNet): MR1506428
3. Marston Morse, Recurrent geodesics on a surface of negative curvature, Trans. Amer. Math. Soc. 22 (1921), 84-110.
Jahrbuch database (Zbl): 48.0786.06
Mathematical Reviews (MathSciNet): MR1501161
4. Marston Morse, A fundamental class of geodesics on any closed surface of genus p greater than one, Trans. Amer. Math. Soc. 26 (1924), 25-61.
Jahrbuch database (Zbl): 50.0466.04
Mathematical Reviews (MathSciNet): MR1501263
5. Marston Morse, Relations between the critical points of a real function of n independent variables, Trans. Amer. Math. Soc. 27 (1925), 345-396.
Jahrbuch database (Zbl): 51.0451.01
Mathematical Reviews (MathSciNet): MR1501318
6. Marston Morse, The analysis and analysis situs of regular n-spreads in (n + s)-space, Proc. Nat. Acad. Sci. 13 (1927), 813-817.
Jahrbuch database (Zbl): 53.0563.01
7. Marston Morse, The foundations of a theory of the calculus of variations in the large, Trans. Amer. Math. Soc. 30 (1928), 213-274.
Jahrbuch database (Zbl): 54.0528.01
Mathematical Reviews (MathSciNet): MR1501428
8. Marston Morse, Singular points of vector fields under general boundary conditions, Amer. J. Math. 51 (1929), 165-178.
Jahrbuch database (Zbl): 55.0972.02
Mathematical Reviews (MathSciNet): MR1506710
9. Marston Morse, The critical points of functions and the calculus of variations in the large, Bull. Amer. Math. Soc. 35 (1929), 38-54.
Jahrbuch database (Zbl): 55.0293.01
10. Marston Morse, The foundations of the calculus of variations in the large in m-space (1st paper), Trans. Amer. Math. Soc. 31 (1929), 379-404.
Jahrbuch database (Zbl): 55.0906.02
Mathematical Reviews (MathSciNet): MR1501489
11. Marston Morse, Closed extremals, Proc. Nat. Acad. Sci. 15 (1929), 856-959.
Jahrbuch database (Zbl): 55.0907.01
12. Marston Morse, The problems of Lagrange and Mayer under general end conditions, Proc. Nat. Acad. Sci. 16 (1930), 229-233.
Jahrbuch database (Zbl): 56.1079.03
13. Marston Morse, A generalization of the Sturm-separation and comparison theorems in n-space, Math. Ann. 103 (1930), 52-69.
Jahrbuch database (Zbl): 56.1078.03
Mathematical Reviews (MathSciNet): MR1512617
14. Marston Morse, The critical points of a function of n variables, Proc. Nat. Acad. Sci. 16 (1930), 777-779.
Jahrbuch database (Zbl): 56.0240.01
15. Marston Morse, The critical points of a function of n variables, Trans. Amer. Math. Soc. 33 (1931), 72-91.
Zentralblatt MATH: 0001.33103
Mathematical Reviews (MathSciNet): MR1501576
16. Marston Morse, The order of vanishing of the determinant of a conjugate base, Proc. Nat. Acad. Sci. 17 (1931), 319-320.
Jahrbuch database (Zbl): 57.0604.03
17. Marston Morse, The problems of Lagrange and Mayer with variable endpoints, by M. Morse and Sumner Byron Myers, Proc. Amer. Acad. Arts and Sci. 66 (1931), 235-253.
Zentralblatt MATH: 0001.14201
18. Marston Morse, Closed extremals (1st paper), Ann. of Math. (2) 32 (1931), 549-566.
Zentralblatt MATH: 0002.14201
Mathematical Reviews (MathSciNet): MR1503016
19. Marston Morse, Sufficient conditions in the problem of Lagrange with fixed endpoints, Ann. of Math. (2) 32 (1931), 567-577.
Zentralblatt MATH: 0002.14002
Mathematical Reviews (MathSciNet): MR1503017
20. Marston Morse, Sufficient conditions in the problem of Lagrange with variable end conditions, Amer. J. Math. 53 (1931), 517-546.
Zentralblatt MATH: 0002.14101
Mathematical Reviews (MathSciNet): MR1507924
21. Marston Morse, The foundations of a theory of the calculus of variations in the large in m-space (2nd paper), Trans. Amer. Math. Soc. 32 (1930), 599-631.
Jahrbuch database (Zbl): 56.1079.01
Mathematical Reviews (MathSciNet): MR1501555
22. Marston Morse, A characterization of fields in the calculus of variations, by M. Morse and S. B. Littauer, Proc. Nat. Acad. Sci. 18 (1932), 724-730.
Zentralblatt MATH: 0006.35003
23. Marston Morse, The calculus of variations in the large, Verhandlungen des Internationalen Mathematiker-Kongresses Zürich, 1932, Vol. 1, pp. 173-188.
Zentralblatt MATH: 0007.21203
24. Marston Morse, Does instability imply transitivity?, Proc. Nat. Acad. Sci. 20 (1934), 46-50.
Zentralblatt MATH: 0008.37405
25. Marston Morse, On certain invariants of closed extremals, by M. Morse and Everett Pitcher, Proc. Nat Acad. Sci. 20 (1934), 282-287.
Zentralblatt MATH: 0009.31402
26. Marston Morse, The critical point theory under general boundary conditions, by M. Morse and George Booth Van Schaack, Ann. of Math. (2) 35 (1934), 545-571.
Zentralblatt MATH: 0010.02801
Mathematical Reviews (MathSciNet): MR1503179
27. Marston Morse, Sufficient conditions in the problem of Lagrange without assumptions of normalcy, Trans. Amer. Math. Soc. 37 (1935), 147-160.
Zentralblatt MATH: 0011.02801
Mathematical Reviews (MathSciNet): MR1501780
28. Marston Morse, Instability and transitivity, Jour. de Mathématiques, Paris 14 (1935), 49-71.
Zentralblatt MATH: 0011.13104
29. Marston Morse, Abstract critical sets, by M. Morse and George B. Van Schaack, Proc. Nat. Acad. Sci. 21 (1935), 258-263.
Zentralblatt MATH: 0011.35704
30. Marston Morse, Generalized concavity theorems, Proc. Nat. Acad. Sci. 21 (1935), 359-362.
Zentralblatt MATH: 0014.06903
31. Marston Morse, Three theorems on the envelope of extremals, Proc. Nat. Acad. Sci. 21 (1935), 619-621; Bull. Amer. Math. Soc. 42 (1936), 136-144.
Zentralblatt MATH: 0013.31003
32. Marston Morse, Functional topology and abstract variational theory, Proc. Nat. Acad. Sci. 22 (1936), 313-319.
Zentralblatt MATH: 0014.31801
33. Marston Morse, Critical point theory under general boundary conditions, by M. Morse and George B. Van Schaack, Duke Math. J. 2 (1936), 220-242.
Zentralblatt MATH: 0014.31704
Mathematical Reviews (MathSciNet): MR1545920
34. Marston Morse, Singular quadratic functionals, by M. Morse and Walter Leighton, Trans. Amer. Math. Soc. 40 (1936), 252-286.
Zentralblatt MATH: 0015.02701
Mathematical Reviews (MathSciNet): MR1501873
35. Marston Morse, A special parametrization of curves, Bull. Amer. Math. Soc. 42 (1936), 915-922.
Zentralblatt MATH: 0015.41704
36. Marston Morse, Functional topology and abstract variational theory, Ann. of Math. (2) 38 (1937), 386-449.
Zentralblatt MATH: 0017.17203
Mathematical Reviews (MathSciNet): MR1503341
37. Marston Morse, The index theorem in the calculus of variations, Duke Math. J. 4 (1938), 231-246.
Zentralblatt MATH: 0019.12402
Mathematical Reviews (MathSciNet): MR1546047
38. Marston Morse, Functional topology and abstract variational theory, Proc. Nat. Acad. Sci. 24 (1938), 326-330.
Zentralblatt MATH: 0019.21804
39. Marston Morse, Symbolic dynamics, by M. Morse and G. A. Hedlund, Amer. J. Math. 60 (1938), 815-866.
Zentralblatt MATH: 0019.33502
Mathematical Reviews (MathSciNet): MR1507944
40. Marston Morse, On the existence of minimal surfaces of general critical types, by M. Morse and C. B. Tompkins, Proc. Nat. Acad. Sci. 25 (1939), 153-158; Ann. of Math. (2) 40 (1939), 443-472.
Zentralblatt MATH: 0021.03404
Mathematical Reviews (MathSciNet): MR1503471
41. Marston Morse, Sur le calcul des variations, Ann. Inst. H. Poincaré 9 (1939), 1-11.
Zentralblatt MATH: 0021.03403
Mathematical Reviews (MathSciNet): MR460
42. Marston Morse, La dynamique symbolique, Bull. Soc. Math. France 67 (1939), 1-7.
Zentralblatt MATH: 0024.36305
43. Marston Morse, Symbolic dynamics. II. Sturmian sequences, by M. Morse and G. A. Hedlund, Amer. J. Math. 61 (1940), 1-42.
Zentralblatt MATH: 0022.34003
44. Marston Morse, Rank and span in functional topology, Ann. of Math. (2) 41 (1940), 419-454.
Zentralblatt MATH: 0024.28703
Mathematical Reviews (MathSciNet): MR1927
45. Marston Morse, The first variation in minimal surface theory, Duke Math. J. 6 (1940), 263-289.
Zentralblatt MATH: 0027.07004
Mathematical Reviews (MathSciNet): MR2476
46. Marston Morse, Twentieth century mathematics, Amer. Scholar 9 (1940), 499-504.
47. Marston Morse, Unstable minimal surfaces of higher topological types, by M. Morse and C. B. Tompkins, Proc. Nat. Acad. Sci. 26 (1940), 713-716.
Zentralblatt MATH: 0063.04120
Mathematical Reviews (MathSciNet): MR3481
48. Marston Morse, A mathematical theory of equilibrium with applications to minimal surface theory, Science 93 (1941), 69-71.
Zentralblatt MATH: 0027.31902
Mathematical Reviews (MathSciNet): MR6028
49. Marston Morse, Minimal surfaces not of minimum type by a new mode of approximation, by M. Morse and C. B. Tompkins, Ann. of Math. (2) 42 (1941), 62-72.
Zentralblatt MATH: 0024.41705
Mathematical Reviews (MathSciNet): MR3482
50. Marston Morse, Corrections to our paper on the existence of minimal surfaces of general critical types, by M. Morse and C. B. Tompkins, Ann. of Math. (2) 42 (1941), 331.
Zentralblatt MATH: 0024.32801
Mathematical Reviews (MathSciNet): MR3483
51. Marston Morse, Mathematics in the defense program, by M. Morse and W. L. Hart, The Math. Teacher, May 1941, pp. 195-202.
52. Marston Morse, Unstable minimal surfaces of higher topological structure, by M. Morse and C. B. Tompkins, Duke Math. J. 8 (1941), 350-375.
Zentralblatt MATH: 0025.40902
Mathematical Reviews (MathSciNet): MR4744
53. Marston Morse, The continuity of the area of harmonic surfaces as a function of the boundary representations, by M. Morse and C. B. Tompkins, Amer. J. Math. 63 (1941), 825-838.
Zentralblatt MATH: 0026.12404
Mathematical Reviews (MathSciNet): MR6027
54. Marston Morse, Report on the War Preparedness Committee of the AMS and MAA at the Chicago meeting, Bull. Amer. Math. Soc. 47 (1941), 829-831.
55. Marston Morse, What is analysis in the large?, Amer. Math. Monthly 49 (1942), 358-364.
Zentralblatt MATH: 0060.12311
Mathematical Reviews (MathSciNet): MR6351
56. Marston Morse, Manifolds without conjugate points, by M. Morse and G. A. Hedlund, Trans. Amer. Math. Soc. 51 (1942), 362-386.
Zentralblatt MATH: 0028.08801
Mathematical Reviews (MathSciNet): MR6479
57. Marston Morse, Mathematics and the maximum scientific effort in total war, Scientific Monthly 56 (1943), 1-6.
Mathematical Reviews (MathSciNet): MR497124
58. Marston Morse, Variational theory in the large including the non-regular case, by M. Morse and George Ewing--First paper, Ann. of Math. (2) 44 (1943), 339-353; Second paper, Ann. of Math. (2) 44 (1943), 354-374.
Zentralblatt MATH: 0063.01300
Mathematical Reviews (MathSciNet): MR10250
59. Marston Morse, Functional topology, Bull. Amer. Math. Soc. 49 (1943), 144-149.
Zentralblatt MATH: 0063.04113
Mathematical Reviews (MathSciNet): MR9102
60. Marston Morse, Unending chess, symbolic dynamics and a problem in semigroups, by M. Morse and G. A. Hedlund, Duke Math. J. 11 (1944), 1-7.
Zentralblatt MATH: 0063.04115
Mathematical Reviews (MathSciNet): MR9788
61. Marston Morse, Topological methods in the theory of functions of a single complex variable: I. Deformation types of locally simple plane curves; II. Boundary values and integral characteristics of interior transformations and pseudoharmonic functions, by M. Morse and M. Heins, Ann. of Math. (2) 46 (1945), 600-624; 625-666; III. Causal isomorphisms in the theory of pseudoharmonic functions, Ann. of Math. (2) 47 (1946), 233-273.
Zentralblatt MATH: 0063.04118
Mathematical Reviews (MathSciNet): MR16466
62. Marston Morse, The topology of pseudoharmonic functions, Duke Math. J. 13 (1946), 21-42.
Zentralblatt MATH: 0063.04114
Mathematical Reviews (MathSciNet): MR15626
63. Marston Morse, George David Birkhoff and his mathematical work, Bull. Amer. Math. Soc. 52 (1946), 357-391.
Zentralblatt MATH: 0060.01409
Mathematical Reviews (MathSciNet): MR16341
64. Marston Morse, Topological methods in the theory of functions of a complex variable, by M. Morse and M. Heins, Bull. Amer. Math. Soc. 53 (1947), 1-15.
Zentralblatt MATH: 0031.39301
Mathematical Reviews (MathSciNet): MR20129
65. Marston Morse, Deformation classes of meromorphic functions and their extensions to interior transformations, by M. Morse and M. Heins, Acta Math. 79 (1947), 51-103.
Zentralblatt MATH: 0029.29202
Mathematical Reviews (MathSciNet): MR20128
66. Marston Morse, Functions on a metric space and a setting for isoperimetric problems, Studies and Essays, presented to R. Courant on his 60th birthday, January 8, 1948, pp. 253-263. Interscience Publishers Inc., New York, 1948.
Zentralblatt MATH: 0034.20902
Mathematical Reviews (MathSciNet): MR22659
67. Marston Morse, A positive, lower semicontinuous nondegenerate function on a metric space, Fund. Math. 35 (1948), 47-78.
Zentralblatt MATH: 0031.35601
Mathematical Reviews (MathSciNet): MR28023
68. Marston Morse, L-S-homotopy classes of locally simple curves, Ann. Soc. Polonaise Math. 21 (1948), 236-256.
Zentralblatt MATH: 0036.12901
Mathematical Reviews (MathSciNet): MR31237
69. Marston Morse, Equilibria in nature, stable and unstable, Proc. Amer. Philos. Soc. 93 (1949), 222-225.
Mathematical Reviews (MathSciNet): MR29351
70. Marston Morse, The Fréchet variation and the convergence of multiple Fourier series, by M. Morse and W. Transue, Proc. Nat. Acad. Sci. 35 (1949), 395-399.
Zentralblatt MATH: 0033.35901
Mathematical Reviews (MathSciNet): MR30587
71. Marston Morse, Integral representations of bilinear functionals, by M. Morse and W. Transue, Proc. Nat Acad. Sci. 35 (1949), 136-143.
Zentralblatt MATH: 0032.20901
Mathematical Reviews (MathSciNet): MR29478
72. Marston Morse, Functionals of bounded Fréchet variation, by M. Morse and W. Transue, Canad. J. Math. 1 (1949), 153-165.
Zentralblatt MATH: 0032.02802
Mathematical Reviews (MathSciNet): MR29425
73. Marston Morse, Functionals F bilinear over the product A x B of two p-normed vector spaces: I. The representation of F, by M. Morse and W. Transue, Ann. of Math. (2) 50 (1949), 777-815; II. Admissible spaces A, Ann. of Math. (2) 51 (1950), 576-614.
Zentralblatt MATH: 0035.07105
74. Marston Morse, Les progrès de l'analyse variationnelle globale et son programme, Rendiconti di Matematica e delle sue applicazioni, Serie V, 70 (3) (4) (1948), 1-11.
Zentralblatt MATH: 0037.34801
75. Marston Morse, Topological methods in the theory of functions of a complex variable, Ann. Matematica 28 (1949), 21-25.
Zentralblatt MATH: 0041.39604
Mathematical Reviews (MathSciNet): MR35337
76. Marston Morse, A characterization of the bilinear sum associated with the classical second variation, by M. Morse and W. Transue, Ann. Matematica 29 (1949), 25-68.
Zentralblatt MATH: 0040.06302
Mathematical Reviews (MathSciNet): MR38579
77. Marston Morse, L-S homotopy classes on the topological image of the projective plane, Bull. Amer. Math. Soc. 55 (1949), 981-1003.
Zentralblatt MATH: 0035.11102
Mathematical Reviews (MathSciNet): MR33006
78. Marston Morse, The Fréchet variation and a generalization for multiple Fourier series of the Jordan test, by M. Morse and W. Transue, Rivista di Matematica della Università di Parma 1 (1950), 1-16.
Zentralblatt MATH: 0040.18203
Mathematical Reviews (MathSciNet): MR33907
79. Marston Morse, The Fréchet variation sector limits, and left decompositions, by M. Morse with W. Transue, Canad. J. Math. (3) 2 (1950), 344-374.
Zentralblatt MATH: 0040.17403
Mathematical Reviews (MathSciNet): MR37340
80. Marston Morse, A calculus of Fréchet variations, by M. Morse with W. Transue, J. Indian Math. Soc. 14 (2) (3) (1950), 65-117.
Zentralblatt MATH: 0040.05801
Mathematical Reviews (MathSciNet): MR39043
81. Marston Morse, The Fréchet variation and Pringsheim convergence of double Fourier series, Contributions to Fourier Analysis, by M. Morse and W. Transue, Ann. Math. Studies, no. 25, Princeton Univ. Press, Princeton, N. J., 1950, pp. 46-103.
Zentralblatt MATH: 0041.03401
Mathematical Reviews (MathSciNet): MR182026
82. Marston Morse, Norms of distribution functions associated with bilinear functionals, by M. Morse and W. Transue, ibidem, pp. 104-144.
Zentralblatt MATH: 0041.07501
Mathematical Reviews (MathSciNet): MR36940
83. Marston Morse, Bilinear functionals over CXC, by M. Morse and W. Transue, Acta Sci. Math. 12 (1950), 41-48.
Zentralblatt MATH: 0041.42901
Mathematical Reviews (MathSciNet): MR34528
84. Marston Morse, Recent advances in variational theory in the large, Proc. Internat. Cong. Math. 2 (1950), 143-156.
Zentralblatt MATH: 0049.19701
Mathematical Reviews (MathSciNet): MR44758
85. Marston Morse, A new implication of the Young-Pollard convergence criteria for a Fourier series, by M. Morse and W. Transue, Duke Math. J. 18 (1951), 563-571.
Zentralblatt MATH: 0042.30102
Mathematical Reviews (MathSciNet): MR47171
86. Marston Morse, Trends in analysis, J. Franklin Inst. 251 (1951), 33-43.
Mathematical Reviews (MathSciNet): MR38288
87. Marston Morse, Mathematics and the arts, Yale Review 40 (1951), 604-612. 75th birthday of Robert Frost Essay given at Kenyon College.
88. Marston Morse, Homology relations on regular orientable manifolds, Proc. Nat. Acad. Sci. 38 (1952), 247-258.
Zentralblatt MATH: 0049.12504
Mathematical Reviews (MathSciNet): MR48031
89. Marston Morse, Contour equivalent pseudoharmonic functions and pseudoconjugates, by M. Morse with J. Jenkins, Amer. J. Math. 74 (1952), 23-51.
Zentralblatt MATH: 0046.32604
Mathematical Reviews (MathSciNet): MR48642
90. Marston Morse, Homotopy and homology related to the Schoenflies problem, by M. Morse with E. Baiada, Ann. of Math. (2) 58 (1953), 142-165.
Zentralblatt MATH: 0052.19902
Mathematical Reviews (MathSciNet): MR56922
91. Marston Morse, Topological methods on Riemann surfaces. Pseudoharmonic functions, by M. Morse with J. Jenkins, Ann. of Math. Studies, no. 30, Princeton Univ. Press, Princeton, N. J., 1953, pp. 111-139.
Zentralblatt MATH: 0052.30602
Mathematical Reviews (MathSciNet): MR57339
92. Marston Morse, The existence of pseudoconjugates on Riemann surfaces, by M. Morse with J. Jenkins, Fund. Math. 39 (1953), 269-287.
Zentralblatt MATH: 0050.08501
Mathematical Reviews (MathSciNet): MR57338
93. Marston Morse, The generalized Fréchet variation and Riesz-Young-Hausdorff type theorems, by M. Morse with W. Transue, Rend. Circ. Math. Palermo, Serie II, Tome II (1953), 35 pp.
Zentralblatt MATH: 0051.33804
94. Marston Morse, Conjugate nets, conformal structure, and interior transformations on open Riemann surfaces, by M. Morse with J. Jenkins, Proc. Nat. Acad. Sci. 39 (1953), 1261-1268.
Zentralblatt MATH: 0052.20003
Mathematical Reviews (MathSciNet): MR58724
95. Marston Morse, Conjugate nets on an open Riemann surface, by M. Morse with J. Jenkins, Proc. Univ. Michigan Conf., June 1953.
Zentralblatt MATH: 0068.06102
96. Marston Morse, Curve families F* locally the level curves of a pseudoharmonic function, by M. Morse with J. Jenkins, Acta Math. 91 (1954), 42 pp.
Zentralblatt MATH: 0056.09905
Mathematical Reviews (MathSciNet): MR62292
97. Marston Morse, (With W. Transue) Semi-normed vector spaces with duals of integral type, J. Analyse Math. 4 (1954-1955), 149-186.
Zentralblatt MATH: 0065.34404
Mathematical Reviews (MathSciNet): MR73677
98. Marston Morse, Bimeasures and their integral extensions, Ann. Mat. Pura Appl. 39 (1955), 345-356.
Zentralblatt MATH: 0066.04202
Mathematical Reviews (MathSciNet): MR75273
99. Marston Morse, (With W. Transue) C-bimeasures Λ and their superior integrals Λ*, Rend. Circ. Math. Palermo 4 (1955), 270-300.
Zentralblatt MATH: 0067.28001
Mathematical Reviews (MathSciNet): MR86115
100. Marston Morse, (With W. Transue) The representation of a C-bimeasure on a general rectangle, Proc. Nat Acad. Sci. 42 (1956), 89-95.
Zentralblatt MATH: 0073.27301
Mathematical Reviews (MathSciNet): MR75274
101. Marston Morse, La construction topologique d'un réseau isotherme sur une surface ouverte, J. Math. Pures Appl. 35 (1956), 67-75.
Zentralblatt MATH: 0070.16704
Mathematical Reviews (MathSciNet): MR77648
102. Marston Morse, (With W. Transue) C-bimeasures Λ and their integral extensions, Ann. of Math. (2) 64 (1956), 480-504.
Zentralblatt MATH: 0073.27302
Mathematical Reviews (MathSciNet): MR86116
103. Marston Morse, (With W. Transue) Products of a C-measure and a locally integrable mapping, Canad. J. Math. 9 (1957), 475-486.
Zentralblatt MATH: 0083.34001
Mathematical Reviews (MathSciNet): MR91982
104. Marston Morse, Differentiable mappings in the Schoenflies problem, Proc. Nat. Acad. Sci. 44 (1958), 1068-1072.
Zentralblatt MATH: 0093.37502
Mathematical Reviews (MathSciNet): MR110108
105. Marston Morse, (With W. Transue) Vector subspaces A of CE with duals of integral type, J. Math. 37 (1958), 44-363.
Zentralblatt MATH: 0083.34002
Mathematical Reviews (MathSciNet): MR99583
106. Marston Morse, (With W. Transue) The existence of vector function spaces with duals of integral type, Colloq. Math. 6 (1958), 95-117.
Zentralblatt MATH: 0087.31301
Mathematical Reviews (MathSciNet): MR101998
107. Marston Morse, (With W. Transue) The local characterization of vector function spaces with duals of integral type, J. Analyse Math. 6 (1958), 225-260.
Zentralblatt MATH: 0087.31302
Mathematical Reviews (MathSciNet): MR101997
108. Marston Morse, Mathematics and the arts, Bull. of the Atomic Scientists 15 (1959), 55-59 (Yale Rev. 1951).
Mathematical Reviews (MathSciNet): MR497417
109. Marston Morse, Mathematics, the arts and freedom, Thought (Fordham Univ. Quarterly) 34 (1959), 16-24.
110. Marston Morse, Differentiable mappings in the Schoenflies theorem, Comp. Math. 14 (1959), 83-151.
Zentralblatt MATH: 0096.17401
Mathematical Reviews (MathSciNet): MR110109
111. Marston Morse, Topologically nondegenerate functions on a compact n-manifold M, J. Analyse Math. 7 (1959), 189-208.
Zentralblatt MATH: 0096.30603
Mathematical Reviews (MathSciNet): MR113233
112. Marston Morse, Fields of geodesics issuing from a point, Proc. Nat. Acad. Sci. 46 (1960), 105-111.
Zentralblatt MATH: 0096.15303
Mathematical Reviews (MathSciNet): MR113231
113. Marston Morse, The existence of polar nondegenerate functions on differentiable manifolds, Ann of Math. (2) 71 (1960), 352-383.
Zentralblatt MATH: 0096.03604
Mathematical Reviews (MathSciNet): MR113232
114. Marston Morse, A reduction of the Schoenflies extension problem, Bull. Amer. Math. Soc. 66 (1960), 113-115.
Zentralblatt MATH: 0091.36206
Mathematical Reviews (MathSciNet): MR117694
115. Marston Morse, The existence of nondegenerate functions on a compact differentiable m-manifold M, Ann. Mat. Pura Appl. 49 (1960), 117-128.
Zentralblatt MATH: 0096.03603
Mathematical Reviews (MathSciNet): MR120650
116. Marston Morse, Recurrent geodesics on a surface of negative curvature, Trans. Amer. Math. Soc. 22 (1921), 84-110. (Multilithed with Historical Note, 1960.)
Jahrbuch database (Zbl): 48.0786.06
Mathematical Reviews (MathSciNet): MR1501161
117. Marston Morse, (With W. Huebsch) An explicit solution of the Schoenflies extension problem, J. Math. Soc. Japan 12 (1960), 271-289.
Zentralblatt MATH: 0096.17402
Mathematical Reviews (MathSciNet): MR206928
118. Marston Morse, (With W. Huebsch) A singularity in the Schoenflies extension, Proc. Nat. Acad. Sci. 46 (1960), 1100-1102.
Zentralblatt MATH: 0121.40003
Mathematical Reviews (MathSciNet): MR119213
119. Marston Morse, On elevating manifold differentiability, J. Indian Math. Soc. 24 (1960), 379-400.
Zentralblatt MATH: 0104.17604
Mathematical Reviews (MathSciNet): MR141135
120. Marston Morse, (With W. Huebsch) The dependence of the Schenflies extension on an accessory parameter, J. Analyse Math. 8 (1960-1961), 209-271.
Zentralblatt MATH: 0107.40205
Mathematical Reviews (MathSciNet): MR145547
121. Marston Morse, (With W. Huebsch) Abstracts: A characterization of an analytic n-ball, and A. Schoenflies extension of a real analytic diffeomorphism of S into W. (Multilithed April 17, 1961.)
122. Marston Morse, Boundary values of partial derivatives of Poisson integral, Ann. Acad. Brasil. Ci. 33 (1961), 131-139.
Zentralblatt MATH: 0116.07703
Mathematical Reviews (MathSciNet): MR164052
123. Marston Morse, (With W. Huebsch) Conical singular points of diffeomorphisms, Bull. Amer. Math. Soc. 67 (1961), 490-493.
Zentralblatt MATH: 0107.40301
Mathematical Reviews (MathSciNet): MR145548
124. Marston Morse, (With W. Huebsch) Schoenflies extensions of analytic families of diffeomorphisms, Math. Ann. 144 (1961), 162-174.
Zentralblatt MATH: 0107.40302
Mathematical Reviews (MathSciNet): MR133835
125. Marston Morse, (With W. Huebsch) The Schoenflies extension in the analytic case, Ann. Mat. Pura Appl. 54 (1961), 359-378.
Zentralblatt MATH: 0099.39304
Mathematical Reviews (MathSciNet): MR144353
126. Marston Morse, Schoenflies problems, Fund. Math. 50 (1962), 319-332.
Zentralblatt MATH: 0101.40801
Mathematical Reviews (MathSciNet): MR148082
127. Marston Morse, (With W. Huebsch) Schoenflies extensions without interior differential singularities, Ann. of Math. (2) 76 (1962), 18-54.
Zentralblatt MATH: 0111.35602
Mathematical Reviews (MathSciNet): MR146847
128. Marston Morse, Topological, differential, and analytic formulations of Schoenflies problems, Rend. Circ. Mat. Palermo 21 (1962), 286-295. (Lecture delivered in Rome, April 1962.)
Zentralblatt MATH: 0113.38801
Mathematical Reviews (MathSciNet): MR154295
129. Marston Morse, (With W. Huebsch) Analytic diffeomorphisms approximating Cm-diffeomorphisms, Rend. Circ. Mat. Palermo 11 (1962), 1-22.
Zentralblatt MATH: 0108.36203
130. Marston Morse, (With W. Huebsch) Diffeomorphisms of manifolds, Rend. Circ. Mat. Palermo 11 (1962), 1-28.
Zentralblatt MATH: 0117.16901
Mathematical Reviews (MathSciNet): MR172297
131. Marston Morse, Schoenflies extensions and differentiable isotopies, J. Mat. Pures Appl. 42 (1963), 29-41.
Zentralblatt MATH: 0107.17202
Mathematical Reviews (MathSciNet): MR149497
132. Marston Morse, An arbitrarily small analytic mapping into R+ of a proper, regular, analytic r-manifold in Em, Rendi. Sci. Ist Lombardo, Milano (A) 97 (1963), 650-660.
Zentralblatt MATH: 0121.40002
Mathematical Reviews (MathSciNet): MR177364
133. Marston Morse, Harmonic extensions, Monatsh. Math. 67 (1963), 317-325.
Zentralblatt MATH: 0151.16004
Mathematical Reviews (MathSciNet): MR158088
134. Marston Morse, (With W. Huebsch) The dependence of the Shoenflies extension on an accessory parameter (the topological case), Proc. Nat. Acad. Sci. 50 (1963), 1036-1037.
Zentralblatt MATH: 0117.40501
Mathematical Reviews (MathSciNet): MR182957
135. Marston Morse, (With W. Huebsch) The bowl theorem and a model nondegenerate function, Proc. Nat. Acad. Sci. 51 (1964), 49-51.
Zentralblatt MATH: 0124.05901
Mathematical Reviews (MathSciNet): MR160245
136. Marston Morse, (With W. Huebsch) Conditioned differentiable isotopies, Differential Analysis Colloq., Bombay, India, 1964, pp. 1-25.
Zentralblatt MATH: 0147.42301
Mathematical Reviews (MathSciNet): MR185603
137. Marston Morse, The elimination of critical points of a nondegenerate function on a differentiable manifold, J. Analyse Math. 13 (1964), 257-316.
Zentralblatt MATH: 0128.16802
Mathematical Reviews (MathSciNet): MR184256
138. Marston Morse, Bowls, f-fibre bundles and the alteration of critical values, Ann. Acad. Brasil. Ci. 36 (1964), 245-259.
Zentralblatt MATH: 0157.54402
Mathematical Reviews (MathSciNet): MR178478
139. Marston Morse, Bowls of a nondegenerate function on a compact differentiable manifold, Differential and Combinatorial Topology, Princeton Univ. Press, Princeton, N. J., 1965, pp. 81-103. (Symposium in honor of M. Morse.)
Zentralblatt MATH: 0159.24803
Mathematical Reviews (MathSciNet): MR182026
140. Marston Morse, Quadratic forms Θ and Θ-fibre bundles, Ann. of Math. (2) 81 (1965), 303-340.
Zentralblatt MATH: 0138.18701
Mathematical Reviews (MathSciNet): MR173272
141. Marston Morse, (With W. Huebsch), A model nondegenerate function, Revue Roumaine Math. Pures Appl. 10 (1965), 691-722.
Zentralblatt MATH: 0151.32101
Mathematical Reviews (MathSciNet): MR206985
142. Marston Morse, The reduction of a function near a nondegenerate critical point, Proc. Nat. Acad. Sci. 54 (1965), 1759-1764.
Zentralblatt MATH: 0171.22101
Mathematical Reviews (MathSciNet): MR189056
143. Marston Morse, Projective methods (in photogrammetry), Photogrammetric Engineering, Sept. 1966, pp. 849-855.
144. Marston Morse, (With J. Cantwell) Diffeomorphism including automorphisms of π1(Tp), Topology 4 (1966), 323-341.
Zentralblatt MATH: 0141.21102
145. Marston Morse, Nondegenerate functions on abstract differentiable manifolds M, J. Analyse Math. 19 (1967), 231-272.
Zentralblatt MATH: 0168.44303
Mathematical Reviews (MathSciNet): MR216515
146. Marston Morse, Nondegenerate real-valued differentiable functions, Proc. Nat Acad. Sci. 57 (1967), 32-38.
Zentralblatt MATH: 0147.42203
Mathematical Reviews (MathSciNet): MR206976
147. Marston Morse, Focal sets of regular manifolds Mn-1 in En, J. Differential Geometry 1 (1967), 1-19.
Zentralblatt MATH: 0162.27402
148. Marston Morse, Bowls, f-fiber bundles and the alteration of critical values, Proc. Nat. Acad. Sci. 60 (1968), 1156-1159.
Zentralblatt MATH: 0157.54403
Mathematical Reviews (MathSciNet): MR231408
149. Marston Morse, (With S. S. Cairns) Singular homology over Z on topological manifolds, J. Differential Geometry 3 (1969), 257-288.
Zentralblatt MATH: 0195.25004
Mathematical Reviews (MathSciNet): MR270375
150. Marston Morse, (With S. S. Cairns) A setting for a theorem of Bott, Proc. Nat Acad. Sci. 65 (1970), 8-9.
Zentralblatt MATH: 0187.20502
Mathematical Reviews (MathSciNet): MR253372
151. Marston Morse, Mathematics in our culture, The Spirit and the Uses of the Mathematical Sciences by T. L. Saaty and F. J. Weyl, McGraw-Hill, New York, 1969, pp. 105-120.
Zentralblatt MATH: 0192.30901
152. Marston Morse, Equilibrium points of harmonic potentials, J. Analyse Math. 23 (1970), 281-296.
Zentralblatt MATH: 0206.40802
Mathematical Reviews (MathSciNet): MR277737
153. Marston Morse, (With S. S. Cairns) Elementary quotients of abelian groups, and singular homology on manifolds, Nagoya Math. J. 39 (1970), 167-198.
Zentralblatt MATH: 0197.30003
Mathematical Reviews (MathSciNet): MR265457
154. Marston Morse, Subordinate quadratic forms and their complementary forms, Proc. Nat. Acad. Sci. 68 (1971), 579.
Zentralblatt MATH: 0211.41703
Mathematical Reviews (MathSciNet): MR287558
155. Marston Morse, Model families of quadratic forms. Proc. Nat. Acad. Sci. 68 (1971), 914-915.
Zentralblatt MATH: 0214.05002
Mathematical Reviews (MathSciNet): MR284457
156. Marston Morse, (With S. S. Cairns) Orientation of differentiable manifolds, J. Differential Geometry 6 (1971), 1-31. (Dedicated to S. S. Chern and D. C. Spencer.)
Zentralblatt MATH: 0226.58001
Mathematical Reviews (MathSciNet): MR331415
157. Marston Morse, Subordinate quadratic forms and their complementary forms, Rev. Roumaine Math. Pures Appl. 16 (1971), 559-569.
Zentralblatt MATH: 0221.15023
Mathematical Reviews (MathSciNet): MR308050
158. Marston Morse, (With S. S. Cairns) Singular homology on an untriangulated manifold, J. Differential Geometry 7 (1972), 1-17.
Zentralblatt MATH: 0293.57009
Mathematical Reviews (MathSciNet): MR368016
159. Marston Morse, Axial presentations of regular arcs on Mn, Proc. Nat. Acad. Sci. 69 (1972), 3504-3505.
Zentralblatt MATH: 0245.58001
Mathematical Reviews (MathSciNet): MR321118
160. Marston Morse, Singular quadratic functionals, Math. Ann. 201 (1973), 315-340.
Zentralblatt MATH: 0237.49013
Mathematical Reviews (MathSciNet): MR343150
161. Marston Morse, F-deformations and F-tractions, Proc. Nat. Acad. Sci. 70 (1973), 1634-1635.
Zentralblatt MATH: 0257.54009
Mathematical Reviews (MathSciNet): MR321098
162. Marston Morse, Fréchet curve classes, J. Math. Pures Appl. 53 (1974), 291-298.
Zentralblatt MATH: 0277.54007
Mathematical Reviews (MathSciNet): MR365622
163. Marston Morse, Singleton critical values, Bull. Inst. Math. Acad. Sinica 2 (1974), 317-333.
Zentralblatt MATH: 0294.58006
Mathematical Reviews (MathSciNet): MR356092
164. Marston Morse, (With D. Landis) Geodesic joins and Fréchet curve classes, Rend. Mat. 8 (1975), 161-185.
Zentralblatt MATH: 0313.58013
Mathematical Reviews (MathSciNet): MR397783
165. Marston Morse, Connectivities Ri of Fréchet spaces in variational topology, Proc. Nat. Acad. Sci. 72 (1975), 2069-2070.
Zentralblatt MATH: 0304.58010
Mathematical Reviews (MathSciNet): MR440607
166. Marston Morse, Topologically nondegenerate functions, Fund. Math. 88 (1975), 17-52.
Zentralblatt MATH: 0304.57017
Mathematical Reviews (MathSciNet): MR418128
167. Marston Morse, (With D. Landis) Tractions in critical point theory, Rocky Mountain J. Math. 5 (1975), 379-399.
Zentralblatt MATH: 0313.58011
Mathematical Reviews (MathSciNet): MR383458
168. Marston Morse, Fréchet numbers in global variational analysis, Houston J. Math. 2 (1976), 387-403.
Zentralblatt MATH: 0329.58007
Mathematical Reviews (MathSciNet): MR420702
169. Marston Morse, (With S. S. Cairns) Fréchet numbers and geodesics on surfaces, Bull. Inst. Math. Acad. Sinica 4 (1976), 7-34.
Zentralblatt MATH: 0332.58007
Mathematical Reviews (MathSciNet): MR407888
170. Marston Morse, Conjugate points on a limiting extremal, Proc. Nat. Acad. Sci. 73 (1976), 1800-1801.
Zentralblatt MATH: 0328.49021
Mathematical Reviews (MathSciNet): MR405497
171. Marston Morse, Extremal limits of nondegenerate extremals, Rend. Mat. 9 (1976), 621-632.
Zentralblatt MATH: 0342.58016
Mathematical Reviews (MathSciNet): MR436208
172. Marston Morse, Tubular presentations π of subsets of manifolds, Proc. Nat. Acad. Sci. 74 (1977), 2209-2210.
Zentralblatt MATH: 0361.53042
173. Marston Morse, Nondegenerate point pairs in global variational analysis, J. Differential Geometry 11 (1976), 617-632.
Zentralblatt MATH: 0341.58007
Mathematical Reviews (MathSciNet): MR455025
174. Marston Morse, Uses of the Fréchet numbers Ri(Mn) of a smooth manifold, Houston J. Math. 3 (1977), 503-513.
Zentralblatt MATH: 0382.58011
Mathematical Reviews (MathSciNet): MR467811
175. Marston Morse, Lacunary type number sequence in global analyses, J. Math. Pures Appl. 57 (1978), 87-98.
Zentralblatt MATH: 0331.58006
Mathematical Reviews (MathSciNet): MR497124
176. Marston Morse, The Fréchet numbers of the differentiable product of two compact converted smooth manifolds, Edited and completed by S. S. Cairns, Univ. of Illinois, for Marston Morse memorial issue of Bull, of Institute of Math. Acad. Sinica, Vol. VI, No. 2, October 1978.
Zentralblatt MATH: 0405.58026
Mathematical Reviews (MathSciNet): MR512338
1. Marston Morse, Calculus of variations in the large, Amer. Math. Soc. Colloq. Publ., no. 18, Amer. Math. Soc., Providence, R. I., 1934. (Address: P. O. Box 6248, Providence, R. I., 02904.)
Zentralblatt MATH: 0011.02802
Mathematical Reviews (MathSciNet): MR1451874
2. Marston Morse, Functional topology and abstract variational theory, Mémorial des Sciences Mathématiques 92, Gauthier-Villars, Paris, 1939.
Zentralblatt MATH: 0022.40403
3. Marston Morse, Topological methods in the theory of functions of a complex variable, Princeton Univ. Press, Princeton, N. J., 1947. (Paperback available from Kraus Reprint Co., 16 E. 46th St., New York, N. Y. 10017.)
Zentralblatt MATH: 0041.39604
Mathematical Reviews (MathSciNet): MR21089
4. Marston Morse, Symbolic dynamics, Lectures of 1938 with New Preface, 1966, 87 pp. (Notes by R. Oldenburger.) University Microfilms, 300 N. Zeeb Road, Ann Arbor, Mich. 48106.
Zentralblatt MATH: 0164.22201
5. Marston Morse, (With S. S. Cairns) Critical point theory in global analysis and differential topology, Academic Press, New York, 1969.
Zentralblatt MATH: 0177.52102
Mathematical Reviews (MathSciNet): MR245046
6. Marston Morse, Variational analysis: Critical extremals and Sturmian extensions, Wiley, New York, 1973.
Zentralblatt MATH: 0255.49002
Mathematical Reviews (MathSciNet): MR420368
7. Marston Morse, Global variational analysis: Weierstrass integrals on a Riemannian manifold, Mathematical Notes, Princeton Univ. Press, Princeton, N. J., 1976.
Zentralblatt MATH: 0336.58007
Mathematical Reviews (MathSciNet): MR494242
[A] A. Andreotti and T. Frankel, The Lefschetz theorem on hyperplane sections, Ann. of Math. (2) 69 (1959), 713-717.
Zentralblatt MATH: 0115.38405
Mathematical Reviews (MathSciNet): MR177422
[B1] G. D. Birkhoff, Dynamical systems with two degrees of freedom, Trans. Amer. Math. Soc. 18 (1917), 240.
Jahrbuch database (Zbl): 46.0834.02
Mathematical Reviews (MathSciNet): MR1501070
[B2] G. D. Birkhoff, Quelques théorèmes sur le mouvement des systèmes dynamiques, Bull. Soc. Math. France 40 (1912), 305-323.
Jahrbuch database (Zbl): 43.0818.01
Mathematical Reviews (MathSciNet): MR1504693
[B3] G. D. Birkhoff and M. R. Hestenes, Generalized minimax principle in the calculus of variations, Duke Math. J. 1 (1935).
Zentralblatt MATH: 0013.17101
Mathematical Reviews (MathSciNet): MR1545886
[B4] R. Bott, Nondegenerate critical manifolds, Ann. of Math. (2) 60 (1954), 248-261.
Zentralblatt MATH: 0058.09101
Mathematical Reviews (MathSciNet): MR64399
[B5] R. Bott, The stable homotopy of the classical groups, Ann. of Math. (2) 70 (1959), 179-203.
Zentralblatt MATH: 0129.15601
Mathematical Reviews (MathSciNet): MR110104
[B6] R. Bott and H. Samelson, Applications of the theory of Morse to symmetric spaces, Amer. J. Math. 80 (1958), 964-1029.
Zentralblatt MATH: 0101.39702
Mathematical Reviews (MathSciNet): MR105694
[B7] Morton Brown, A proof of the generalized Schoenflies theorem, Bull. Amer. Math. Soc. 66 (1960), 74-76.
Zentralblatt MATH: 0132.20002
Mathematical Reviews (MathSciNet): MR117695
[D1] R. Deheuvels, Topologie d'une fonctionelle, Ann. of Math. (2) 61 (1955), 13-72.
Zentralblatt MATH: 0067.33303
Mathematical Reviews (MathSciNet): MR69488
[H1] J. Hadamard, Les surfaces à courbure opposées et leur lignes géodesiques, J. Math. Pures Appl. (5) 4 (1898).
Jahrbuch database (Zbl): 29.0522.01
[H2] G. Hedlund, On the metrical transitivity of geodesics on closed surfaces of constant negative curvature, Ann. of Math. (2) 35 (1934), 787-808.
Zentralblatt MATH: 0010.22107
Mathematical Reviews (MathSciNet): MR1503197
[K] W. Klingenberg, Lectures on closed geodesics, Grundlehren der Mathematischen Wissenschaften, Springer-Verlag.
Zentralblatt MATH: 0397.58018
Mathematical Reviews (MathSciNet): MR478069
[M1] B. Mazur, On embeddings of spheres, Bull. Amer. Math. Soc. 65 (1959), 59-65.
Zentralblatt MATH: 0086.37004
Mathematical Reviews (MathSciNet): MR117693
[M2] J. Milnor, Morse theory, Ann. of Math. Studies no. 51, Princeton Univ. Press, Princeton, N. J., 1963.
Zentralblatt MATH: 0108.10401
Mathematical Reviews (MathSciNet): MR163331
[N1] P. Novikov, One periodic groups, Dokl. Akad. Nauk SSSR 127 (1959), 749-752; English transl., Amer. Math. Soc. Transl. (2) 45 (1965), 19-22.
Zentralblatt MATH: 0158.02604
Mathematical Reviews (MathSciNet): MR106950
[P1] R. Palais, Morse theory on Hilbert manifolds, Topology 2 (1963), 299-340.
Zentralblatt MATH: 0122.10702
Mathematical Reviews (MathSciNet): MR158410
[R] H. L. Royden, The analytic approximation of differentiable mappings, Math. Ann. 139 (1960), 171-179.
Zentralblatt MATH: 0091.37003
Mathematical Reviews (MathSciNet): MR113229
[S1] Seifert-Threlfall, Variationsrechnung im Grossen, Teubner, Leipzig, 1938.
Zentralblatt MATH: 0021.14103
[S2] S. Smale, Generalized Poincaré conjecture in higher dimensions, Bull. Amer. Math. Soc. 66 (1960), 373-375.
Zentralblatt MATH: 0099.39201
Mathematical Reviews (MathSciNet): MR124912
[S3] S. Smale, A survey of some recent developments in differential topology, Bull. Amer. Math. Soc. 69 (1963), 131-145.
Zentralblatt MATH: 0133.16507
Mathematical Reviews (MathSciNet): MR144351
[S4] S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817.
Zentralblatt MATH: 0202.55202
Mathematical Reviews (MathSciNet): MR228014
[S5] G. Series, Symbolic dynamics for geodesic flows, Univ. Warwick, 1979.
Zentralblatt MATH: 0488.58016
[T1] R. Thom, Sur une partition en cellules associée á une fonction sur une variété, C. R. Acad. Sci. Paris 228 (1949), 973-975.
Zentralblatt MATH: 0034.20802
Mathematical Reviews (MathSciNet): MR29160

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Bulletin (New Series) of the American Mathematical Society