Enumerating immersions and embeddings of projective spaces.
L. L. Larmore and R. D. Rigdon
Source: Pacific J. Math. Volume 64, Number 2 (1976), 471-492.
Primary Subjects: 57D40
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102867100
Zentralblatt MATH identifier:
0364.55011
Mathematical Reviews number (MathSciNet):
MR0428334
References
[1] D. Bausum, Embeddingsand Immersions of Manifolds in Euclidean Space, Thesis, Yale University, 1974.
Mathematical Reviews (MathSciNet):
MR57:13976
Zentralblatt MATH:
0323.57017
[2] D. Bausum, Embeddings and immersion of manifolds in Euclidean space, Trans. Amer. Math. Soc, 213 (1975), 263-303.
Mathematical Reviews (MathSciNet):
MR57:13976
Zentralblatt MATH:
0323.57017
[3] J. C. Becker, Cohomology and the classification of liftings, Trans. Amer. Math. Soc, 133 (1968), 447-475.
Mathematical Reviews (MathSciNet):
MR38:5217
Zentralblatt MATH:
0186.27205
[4] J. C. Becker, Extensions of cohomology theories, Illinois J. Math., 14 (1970), 551-584.
Mathematical Reviews (MathSciNet):
MR42:8476
Zentralblatt MATH:
0211.55103
[5] A. Dold, Partitions of unity in the theory of fibrations, Ann. Math., 78 (1963), 223-255.
Mathematical Reviews (MathSciNet):
MR27:5264
Zentralblatt MATH:
0203.25402
[6] A. Haefliger, Plongements differentiable dans le domaine stable, Comm. Math. Helv., 37 (1962), 155-176.
Mathematical Reviews (MathSciNet):
MR28:625
Zentralblatt MATH:
0186.27302
[7] A. Haefliger and M. Hirsch, Immersions in the stable range, Ann. Math., 75 (1962), 231-241.
Mathematical Reviews (MathSciNet):
MR26:784
Zentralblatt MATH:
0186.27301
[8] D. Handel, An embedding theorem for real projectie spaces, Topology, 7 (1968), 125-130.
Mathematical Reviews (MathSciNet):
MR37:3582
Zentralblatt MATH:
0159.54003
[9] D. Husemoller, Fiber Bundles, McGraw-Hill, 1966.
Mathematical Reviews (MathSciNet):
MR37:4821
[10] L. L. Larmore, Twisted cohomology theories and the single obstruction to lifting, Pacific J. Math., 41 (1972), 755-769.
Mathematical Reviews (MathSciNet):
MR50:5799
Zentralblatt MATH:
0237.55004
[11] L. L. Larmore, The Cohomology of (2X,X), Canad. J. Math., 25 (1973), 908-921.
Mathematical Reviews (MathSciNet):
MR53:4093
[12] L. L. Larmore and P. E. Thomas, Group extensions and twisted cohomology theories,Illinois J. Math., 17 (1973), 397-410.
Mathematical Reviews (MathSciNet):
MR49:1517
Zentralblatt MATH:
0274.55022
[13] M. Mahowald, On extending cross-sections in orientable Vk+mmbundles, Bull. Amer. Math. Soc., 68 (1962), 596-602.
Mathematical Reviews (MathSciNet):
MR26:3067
Zentralblatt MATH:
0136.20302
[14] J. F.McClendon, Higher order twisted cohomology operations, Invent. Math., 7 (1969),183-214.
Mathematical Reviews (MathSciNet):
MR40:3541
Zentralblatt MATH:
0206.25102
[15] J. F.McClendon, Obstruction theory in fiber spaces, Math. Z., 120 (1971), 1-17.
Mathematical Reviews (MathSciNet):
MR45:6002
Zentralblatt MATH:
0222.55023
[16] J. F.McClendon, On stable fiber space obstructions, Pacific J. Math., 36 (1971), 439-445.
Mathematical Reviews (MathSciNet):
MR44:3322
Zentralblatt MATH:
0227.55018
[17] R. Mosher and M. Tangora, Cohomology Operations and Applications in Homotopy Theory, Harper and Row, 1968.
Mathematical Reviews (MathSciNet):
MR37:2223
Zentralblatt MATH:
0202.22802
[18] R. Rigdon, Immersions and Embeddings of Manifolds in Euclidean Space, dissertation, University of California at Berkeley, 1970.
[19] C. A. Robinson, Stable homotopy theory over a fixed base space, Bull. Amer. Math. Soc, 80 (1974), 248-252.
Mathematical Reviews (MathSciNet):
MR51:6813
Zentralblatt MATH:
0297.55007
Pacific Journal of Mathematics