A theorem on homotopically equivalent $(2k+1)$-manifolds
HTML articles powered by AMS MathViewer
- by Yuen-fat Wong PDF
- Proc. Amer. Math. Soc. 16 (1965), 1022-1025 Request permission
References
- William Browder, Homotopy type of differentiable manifolds, Novikov conjectures, index theorems and rigidity, Vol. 1 (Oberwolfach, 1993) London Math. Soc. Lecture Note Ser., vol. 226, Cambridge Univ. Press, Cambridge, 1995, pp. 97–100. MR 1388298, DOI 10.1017/CBO9780511662676.006
- Morris W. Hirsch, On combinatorial submanifolds of differentiable manifolds, Comment. Math. Helv. 36 (1961), 103–111. MR 133833, DOI 10.1007/BF02566895
- P. J. Hilton and S. Wylie, Homology theory: An introduction to algebraic topology, Cambridge University Press, New York, 1960. MR 0115161, DOI 10.1017/CBO9780511569289
- John Milnor, A procedure for killing homotopy groups of differentiable manifolds. , Proc. Sympos. Pure Math., Vol. III, American Mathematical Society, Providence, R.I., 1961, pp. 39–55. MR 0130696
- John Milnor, On simply connected $4$-manifolds, Symposium internacional de topología algebraica International symposium on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 122–128. MR 0103472
- S. P. Novikov, A diffeomorphism of simply connected manifolds, Dokl. Akad. Nauk SSSR 143 (1962), 1046–1049 (Russian). MR 0158405
- R. Penrose, J. H. C. Whitehead, and E. C. Zeeman, Imbedding of manifolds in euclidean space, Ann. of Math. (2) 73 (1961), 613–623. MR 124909, DOI 10.2307/1970320
- S. Smale, On the structure of manifolds, Amer. J. Math. 84 (1962), 387–399. MR 153022, DOI 10.2307/2372978
- C. T. C. Wall, Classification of $(n-1)$-connected $2n$-manifolds, Ann. of Math. (2) 75 (1962), 163–189. MR 145540, DOI 10.2307/1970425
- J. H. C. Whitehead, Combinatorial homotopy. I, Bull. Amer. Math. Soc. 55 (1949), 213–245. MR 30759, DOI 10.1090/S0002-9904-1949-09175-9
Additional Information
- © Copyright 1965 American Mathematical Society
- 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