Bulletin of the American Mathematical Society

Solomon Lefschetz. An appreciation in memoriam

Lawrence Markus

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Source
Bull. Amer. Math. Soc. Volume 79, Number 4 (1973), 663-680.

Dates
First available: 4 July 2007

Permanent link to this document
http://projecteuclid.org/euclid.bams/1183534736

Mathematical Reviews number (MathSciNet)
MR0316207

Zentralblatt MATH identifier
0265.01013

Citation

Markus, Lawrence. Solomon Lefschetz. An appreciation in memoriam. Bulletin of the American Mathematical Society 79 (1973), no. 4, 663--680. http://projecteuclid.org/euclid.bams/1183534736.


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References

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  • [2] Solomon Lefschetz, On the V33with five nodes of the second species in S4, Bull. Amer. Math. Soc. 18: 384-386.
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  • *[24] Solomon Lefschetz, On certain numerical invariants of algebraic varieties with application to Abelian varieties, Trans Amer. Math. Soc. 22: 327-482. Awarded the Bôcher Memorial Prize by the American Mathematical Society in 1924. A translation, with minor modifications, of the memoir awarded the Prix Bordin by the Académie des Sciences, Paris, for the year 1919 ; for announcement, see C. R. Acad. Sci. Paris 169: 1200-1202; Bull. Sci. Math. 44: 5-7.
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  • *[29] Solomon Lefschetz, L' Analysis situs et la géométrie algébrique, Gauthier-Villars, Paris. (Collection de Monographies publiée sous la Direction de M. Emile Borel.) Based in part on a series of lectures given in Rome in 1921 under the auspices of the Institute of International Education; also on research conducted under the auspices of the American Association for the Advancement of Science. Nouveau tirage, 1950. MR 11, 456.
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  • [31] Solomon Lefschetz, Intersections of complexes on manifolds, Proc. Nat. Acad. Sci. U. S. A. 11: 287-289.
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  • *[33] Solomon Lefschetz, Intersections and transformations of complexes and manifolds, Trans. Amer. Math. Soc. 28: 1-49.
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  • *[36] Solomon Lefschetz, Manifolds with a boundary and their transformations, Trans. Amer. Math. Soc. 29: 429-462, 848.
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  • [39] Solomon Lefschetz, On the functional independence of ratios of theta functions, Proc. Nat. Acad. Sci. U. S. A. 13: 657-659.
  • [40] Solomon Lefschetz, Transcendental theory: Singular correspondences between algebraic curves: Hyperelliptic surfaces and Abelian varieties, Selected Topics in Algebraic Geometry, vol. 1. Chaps. 15-17, pp. 310-395; NRC Bulletin no. 63, Report of the Committee on Rational Transformations of the National Research Council, Washington, D. C.
  • [41] Solomon Lefschetz, A theorem on correspondences on algebraic curves, Amer. J. Math. 50: 159-166.
  • *[42] Solomon Lefschetz, Closed point sets on a manifold, Ann. of Math. (2) 29:232-254.
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  • [44] Solomon Lefschetz, Duality relations in topology, Proc. Nat. Acad. Sci. U. S. A. 15: 367-369.
  • [45] Solomon Lefschetz, Topology, Amer. Math. Soc. Colloq. Publ., vol. 12, Amer. Math. Soc. Providence, R. I. See [100].
  • [46] Solomon Lefschetz, Les transformations continues des ensembles fermés et leurs points fixes, C. R. Acad. Sci. Paris 190: 99-100.
  • [47] Solomon Lefschetz, (with W. W. Flexner), On the duality theorems for the Betti numbers of topological manifolds, Proc. Nat. Acad. Sci. U. S. A. 16: 530-533.
  • *[48] Solomon Lefschetz, On transformations of closed sets, Ann. of Math. (2) 31: 271-280.
  • [49] Solomon Lefschetz, On compact spaces, Ann. of Math. (2) 32: 521-538.
  • [50] Solomon Lefschetz, On certain properties of separable spaces, Proc. Nat. Acad. Sci. U. S. A. 18: 202-203.
  • *[51] Solomon Lefschetz, On separable spaces, Ann. of Math. (2) 33: 525-537.
  • *[52] Solomon Lefschetz, Invariance absolue et invariance relative en géométrie algébrique, Mat. Sb. 39: 97-102.
  • *[53] Solomon Lefschetz, On singular chains and cycles, Bull. Amer. Math. Soc. 39: 124-129.
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  • *[55] On generalized manifolds, Amer. J. Math. 55: 469-504.
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  • *[57] Solomon Lefschetz, On locally connected and related sets, Ann. of Math. (2) 35: 118-129.
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  • *[65] Solomon Lefschetz, Locally connected sets and their applications, Mat. Sb. 1: 715-717; A contribution to the First International Topological Conference, September 1935.
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  • [68] Solomon Lefschetz, Lectures on algebraic geometry 1936/37; notes by M. Richardson and E. D. Tagg, Princeton University, Princeton, N. J., (planographed).
  • [69] Solomon Lefschetz, Algebraicheskaia geometriia, Uspehi Mat. Nauk 3: 63-77.
  • [70] Solomon Lefschetz, The role of algebra in topology, Bull. Amer. Math. Soc. 43: 345-359. Address of retiring president of the American Mathematical Society.
  • *[71] Solomon Lefschetz, On the fixed point formula, Ann. of Math. (2) 38: 819-822.
  • [72] Solomon Lefschetz, Lectures on algebraic grometry. Part II, 1937/38, Princeton Univ. Press, Princeton, N. J. (planographed).
  • [73] Solomon Lefschetz, On chains of topological spaces, Ann. of Math. (2) 39: 383-396.
  • [74] Solomon Lefschetz, On locally connected sets and retracts, Proc. Nat. Acad. Sci. U. S. A. 24: 392-393.
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  • *[76] Solomon Lefschetz, Singular and continuous complexes, chains and cycles, Mat. Sb. 3: 271-285.
  • [77] Solomon Lefschetz, On the mapping of abstract spaces on polytopes, Proc. Nat. Acad. Sci. U. S. A. 25: 49-50.
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  • [81] Solomon Lefschetz, Emile Picard (1856-1941): Obituary, Amer. Philos. Soc. Yearbook 1942, pp. 363-365.
  • [82] Solomon Lefschetz, Introduction to non-linear mechanics, by N. M. Krylov and N. N. Bogoljubov; a free translation by S. Lefschetz of excerpts from two Russian monographs; Ann. of Math. Studies, no. 11, Princeton Univ. Press. Princeton, N. J. ; Oxford Univ. Press, London. MR 4, 142.
  • [83] Solomon Lefschetz, Existence of periodic solutions for certain differential equations, Proc. Nat. Acad. Sci. U. S. A. 29: 29-32. MR 4, 142.
  • [84] Solomon Lefschetz, Lectures on differential equations, Ann. of Math. Studies, no. 14, Princeton Univ. Press, Princeton, N. J.; Oxford Univ. Press, London. MR 8, 68.
  • [85] Solomon Lefschetz, Introduction to topology, Princeton Math. Series, no. 11, Princeton Univ. Press, Princeton, N. J.; Oxford Univ. Press, London; A work originating from a short course delivered in 1944 before the Institute of Mathematics of the National University of Mexico. MR U, 193.
  • [86] Solomon Lefschetz, Theory of oscillations, by A. A. Andronov, A. A. Vitt and C. E. Haĭkin; English language edition edited under the direction of S. Lefschetz. Princeton Univ. Press, Princeton, N. J. MR 10, 535
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  • [88] Solomon Lefschetz, Contributions to the theory of nonlinear oscillations, edited by S. Lefschetz, Ann. of Math. Studies, no. 20, Princeton Univ. Press, Princeton, N. J.; Oxford Univ. Press, London.
  • [89] Solomon Lefschetz, The structure of mathematics, American Scientist 38: 105-111. MR 11, 305.
  • [90] Solomon Lefschetz, Numerical calculations in nonlinear mechanics, Problems for the Numerical Analysis of the Future, Nat. Bur. Standards Appl. Math. Ser., no. 15, U. S. Government Printing Office, Washington, D. C., pp. 10-12. MR 13, 162.
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  • [92] Solomon Lefschetz, Notes on differential equations, Contributions to the Theory of Nonlinear Oscillations, vol. 2, Princeton Univ. Press, Princeton, N. J.; Oxford Univ. Press, London, pp. 61-73. MR 14, 557.
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  • [94] Solomon Lefschetz, Algunos trabajos recientes sobre ecuaciones diferenciales, Memoria de Congreso Cientifico Mexicano, vol. 1, U. N. A. M., Mexico, pp. 122-123.
  • [95] Solomon Lefschetz, Las grades corrientes en las matemáticas del siglo XX, Memoria de Congreso Cientifico Mexicano, vol. 1, U. N. A. M., Mexico, pp. 206-211.
  • [96] Solomon Lefschetz, Russian contributions to differential equations, Proc. Sympos. Nonlinear Circuit Analysis (New York, 1953), Polytechnic Institute of Brooklyn, New York, pp. 68-74. MR 16, 433.
  • *[97] Solomon Lefschetz, Complete families of periodic solutions of differential equations, Comment. Math. Helv. 28: 341-345. MR 16, 822.
  • [98] Solomon Lefschetz, On Liénard's differential equation, Wave Motion and Vibration Theory, Proc. Sympos. Appl. Math., vol. 5, McGraw-Hill, New York, pp. 149-153. MR 15, 958.
  • [99] Solomon Lefschetz, On a theorem of Bendixson, Bol. Soc. Mat. Mexicana (2) 1: 13-27. MR 18, 481.
  • [100] Solomon Lefschetz, Topology, 2nd ed., Chelsea, New York. (Cf. [45]).
  • [101] Solomon Lefschetz, On coincidences of transformations, Bol. Soc. Mat. Mexicana (2) 2: 16-25. MR 20 #1320.
  • [102] Solomon Lefschetz, The ambiguous case in planar differential systems, Bol. Soc. Mat. Mexicana (2) 2: 63-74 MR 21 #2793.
  • [103] Solomon Lefschetz, Witold Hurewicz: in memoriam, Bull. Amer. Math. Soc. 63: 77-82. MR 19, 108.
  • [104] Solomon Lefschetz, Sobre la modernization de la geometria, Rev. Mat. 1: 1-11.
  • [105] Solomon Lefschetz, Differential equations: Geometric theory, Pure and Appl. Math., vol. 6, Interscience, New York. (Cf. [116]). MR 20 # 1005.
  • [106] Solomon Lefschetz, On the critical points of a class of differential equations, Contributions to the Theory of Non-Linear Oscillations, vol. 4, Ann. of Math. Studies, no. 41, Princeton Univ. Press, Princeton, N. J., pp. 19-28. MR 21 #2794.
  • [107] Solomon Lefschetz, Liapunov and stability in dynamical systems, Bol. Soc. Mat. Mexicana (2) 3: 25-39. MR 20 #4685.
  • [108] Solomon Lefschetz, The stability theory of Liapunov, Lecture Series, no. 37, University Institute for Fluid Dynamics and Applied Mathematics, College Park, Md.
  • [109] Solomon Lefschetz, Controls: an application of the direct method of Liapunov, Bol. Soc. Mat. Mexicana (2) 5: 139-143. MR 24 #A2730.
  • [109a] Solomon Lefschetz, On automatic controls, IRE Trans. CT-7: 474-475. MR 22 #10866. [110] Algunas consideraciones sobre las matemáticas modernas, Rev. Un. Mat. Argentina 20: 7-16.
  • [111] Solomon Lefschetz, Resultados nuevos sobre casos criticos en ecuaciones diferenciales, Rev. Un. Mat. Argentina 20: 122-124. MR 26 #6516.
  • [112] Solomon Lefschetz, The critical case in differential equations, Bol. Soc. Mat. Mexicana (2) 6: 5-18. MR 24 #A3354.
  • [113] Solomon Lefschetz, Geometricheskaia teoriia differentsial'nykh Uravnenii, IL, Moscow. (Transl. of [105]). MR 22 #12257.
  • [114] Solomon Lefschetz, (with J. P. LaSalle), Stability by Liapunov' s direct method, Math. in Sci. and Engineering, vol. 4, Academic Press, New York. MR 24 #A2712.
  • [115] Solomon Lefschetz, (with J. P. LaSalle), Recent Soviet contributions to ordinary differential equations and non-linear mechanics, J. Math. Anal. Appl. 2: 467-499. MR 23 #A2300.
  • [116] Solomon Lefschetz, Differential equations: Geometric theory, 2nd rev. ed., Pure and Appl. Math., vol. 6, Interscience, New York. MR 27 #3864.
  • [117] Solomon Lefschetz, (edited with J. P. LaSalle), Recent Soviet contributions to mathematics, Macmillan, New York. MR 29 #4656.
  • [118] Solomon Lefschetz, On indirect automatic controls, Analytic Methods in the Theory of Non-Linear Vibrations (Proc. Internat. Sympos. Non-Linear Vibrations, vol. 1, 1961), Izdat. Akad. Nauk Ukrain. SSR, Kiev, pp. 23-24. MR 28 #2013.
  • [119] Solomon Lefschetz, Some mathematical considerations on nonlinear automatic controls, Contributions to Differential Equations, vol. 1, Interscience, New York, pp. 1-28. MR 27 #5010.
  • [120] Solomon Lefschetz, Elementos de topologia, Universidad Nacional Autónoma de México.
  • [121] Solomon Lefschetz, (edited with J. P. LaSalle), Proceedings of International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics (Colorado Springs, 1961), Academic Press, New York. MR 26 #3952.
  • [122] Solomon Lefschetz, Stability of nonlinear automatic control systems, Math, in Sci. and Engineering, vol. 13, Academic Press. MR 30 #5860.
  • [123] Solomon Lefschetz, Liapunov stability and controls, J. Soc. Indust. Appl. Math. Ser. A. 3: 1-6. MR 33 #5380
  • [124] Solomon Lefschetz, Planar graphs and related topics, Proc. Nat. Acad. Sci. U. S. A. 54: 1763-1765. MR 32 #6438.
  • [125] Solomon Lefschetz, Recent advances in the stability of nonlinear controls, SIAM Rev. 7: 1-12. MR 31 #3686.
  • [126] Solomon Lefschetz, Some applications of topology to networks, Proc. Third Annual Allerton Conference on Circuit and System Theory, University of Illinois, Urbana, 111., pp. 1-6. MR 40 #1217.
  • [127] Solomon Lefschetz, Stability in dynamics, William Pierson Field Engineering Lectures, March 3, 4, 10, 11, 1966, Princeton University School of Engineering and Applied Science.
  • [127a] Solomon Lefschetz, (with J. P. LaSalle), Zarys teorii stabilności Lapunowa i jego metody bezpośredniej (Polish) (Transl. of [114]). MR 33 #6051.
  • [128] Solomon Lefschetz, Stability of nonlinear automatic control systems (Russian), "Mir", Moscow. (Transl. of [122]). MR 37 # 1723.
  • [128a] Solomon Lefschetz, Geometric differential equations: Recent past and proximate future, Proc. Internat. Sympos. Differential Equations and Dynamical Systems (Mayaguez, P. R., 1965), Academic Press, New York, pp. 1-14. MR 36 #5437.
  • [129] Solomon Lefschetz, On a theorem of Bendixson, J. Differential Equations 4: 66-101. MR 36 #2879.
  • [130] Solomon Lefschetz, A page of mathematical autobiography, Bull. Amer. Math. Soc. 74: 854-879. MR 39 #2148.
  • [131] Solomon Lefschetz, The Lurie problem on nonlinear controls, Lectures in Differential Equations, vol. 1, Van Nostrand Reinhold, New York, pp. 9-19. MR 39 # 3857.
  • [132] Solomon Lefschetz, The early development of algebraic geometry, Amer. Math. Monthly 76: 451-460. MR 39 #4155.
  • [133] Solomon Lefschetz, Luther Pfahler Eisenhart, 1876-1965: A biographical memoir, Nat. Acad. Sci. U. S. A., Biographical Memoirs 40: 69-90.
  • [134] Solomon Lefschetz, Seven's theory of the base for an algebraic surface, J. Analyse Math. 23: 215-225. MR 43 #1981.
  • [135] Solomon Lefschetz, Selected topics in algebraic geometry, Chelsea, New York.
  • [136] Solomon Lefschetz, Selected papers, Chelsea, New York (Contains articles identified by *).