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All 3-manifolds imbed in 5-space. (English) Zbl 0135.41603


Keywords:

topology
Full Text: DOI

References:

[1] J. F. Adams, On the structure and applications of the Steenrod algebra, Comment. Math. Helv. 32 (1958), 180 – 214. · Zbl 0083.17802 · doi:10.1007/BF02564578
[2] André Haefliger and Morris W. Hirsch, On the existence and classification of differentiable embeddings, Topology 2 (1963), 129 – 135. · Zbl 0113.38607 · doi:10.1016/0040-9383(63)90028-4
[3] Morris W. Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc. 93 (1959), 242 – 276. · Zbl 0113.17202
[4] Morris W. Hirsch, On imbedding differentiable manifolds in euclidean space, Ann. of Math. (2) 73 (1961), 566 – 571. · Zbl 0123.16701 · doi:10.2307/1970318
[5] Morris W. Hirsch, The imbedding of bounding manifolds in euclidean space, Ann. of Math. (2) 74 (1961), 494 – 497. · Zbl 0102.38604 · doi:10.2307/1970293
[6] M. C. Irwin, Combinatorial embeddings of manifolds, Bull. Amer. Math. Soc. 68 (1962), 25 – 27. · Zbl 0111.18605
[7] Michel A. Kervaire, An interpretation of G. Whitehead’s generalization of H. Hopf’s invariant, Ann. of Math. (2) 69 (1959), 345 – 365. · Zbl 0088.39205 · doi:10.2307/1970187
[8] Michel A. Kervaire and John W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504 – 537. · Zbl 0115.40505 · doi:10.2307/1970128
[9] Arunas Liulevicius, A theorem in homological algebra and stable homotopy of projective spaces, Trans. Amer. Math. Soc. 109 (1963), 540 – 552. · Zbl 0134.19202
[10] W. S. Massey and F. P. Peterson, On the dual Stiefel-Whitney classes of a manifold, Bol. Soc. Mat. Mexicana (2) 8 (1963), 1 – 13. · Zbl 0121.18005
[11] Stephen Smale, On gradient dynamical systems, Ann. of Math. (2) 74 (1961), 199 – 206. · Zbl 0136.43702 · doi:10.2307/1970311
[12] Stephen Smale, Generalized Poincaré’s conjecture in dimensions greater than four, Ann. of Math. (2) 74 (1961), 391 – 406. · Zbl 0099.39202 · doi:10.2307/1970239
[13] René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17 – 86 (French). · Zbl 0057.15502 · doi:10.1007/BF02566923
[14] C. T. C. Wall, Differential topology. IV. Theory of handle decompositions, Mimeographed, Cambridge, 1964.
[15] Andrew H. Wallace, Modifications and cobounding manifolds, Canad. J. Math. 12 (1960), 503 – 528. · Zbl 0108.36101 · doi:10.4153/CJM-1960-045-7
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