Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A theorem on homotopically equivalent $ (2k+1)$-manifolds


Author: Yuen-fat Wong
Journal: Proc. Amer. Math. Soc. 16 (1965), 1022-1025
MSC: Primary 57.10
DOI: https://doi.org/10.1090/S0002-9939-1965-0193638-X
MathSciNet review: 0193638
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] W. Browder, Homotopy type of differentiable manifolds, (Mimeographed notes) Aarhus Universitet, Denmark, 1962. MR 1388298 (97d:57044)
  • [2] M. Hirsch, On combinatorial submanifolds of a differentiable manifold, Comment. Math. Helv. 37 (1962), 103-110. MR 0133833 (24:A3658)
  • [3] P. J. Hilton and S. Wylie, Homology theory, Cambridge Univ. Press, New York, 1960. MR 0115161 (22:5963)
  • [4] J. Milnor, A procedure for killing the homotopy groups of differentiable manifolds, Proc. Sympos. Pure Math., Vol. 3, American Mathematical Society, Providence, R. I., 1961; pp. 39-55. MR 0130696 (24:A556)
  • [5] J. Milnor, On simply connected 4-manifolds, Internat. Sympos. Algebraic Topology, pp. 122-128. Universidad National Autonoma de Mexico and UNESCO, Mexico City, 1958. MR 0103472 (21:2240)
  • [6] S. P. Novikov Diffeomorphisms of simply connected manifolds, Dokl. Akad. Nauk 143 (1962), 11-12=Soviet Math Dokl. 3 (1962), 540-543. MR 0158405 (28:1628)
  • [7] R. Penrose, J. H. C. Whitehead and E. C. Zeeman, Imbedding of manifolds in Euclidean space, Ann. of Math. 73 (1961), 613-622. MR 0124909 (23:A2218)
  • [8] S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962), 384-399. MR 0153022 (27:2991)
  • [9] C. T. C. Wall, Classification of $ (n - 1)$-connected 2n-manifolds, Ann. of Math. 75 (1962), 163-189. MR 0145540 (26:3071)
  • [10] J. H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. 55 (1949), 213-245. MR 0030759 (11:48b)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57.10

Retrieve articles in all journals with MSC: 57.10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1965-0193638-X
Article copyright: © Copyright 1965 American Mathematical Society

American Mathematical Society