Cobordisme d'immersions
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 7 (1974) no. 3, pp. 317-357.
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     title = {Cobordisme d'immersions},
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Vogel, Pierre. Cobordisme d'immersions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 7 (1974) no. 3, pp. 317-357. doi : 10.24033/asens.1272. http://www.numdam.org/articles/10.24033/asens.1272/

[1] J. Adem, The relations on Steenrod powers of cohomology classes. Algebraic Geometry and Topology, Princeton University Press, 1956, p. 191-238. | MR | Zbl

[2] M. F. Atiyah, Immersions and embeddings of manifolds (Topology, vol. 1, 1961, p. 125-132). | MR | Zbl

[3] H. Cartan, Espaces avec groupes d'opérateurs (Séminaire de topologie algébrique de l'École Normale Sup., Paris, 1951).

[4] H. Cartan et S. Eilenberg, Homological algebra, Princeton University Press, 1956. | MR | Zbl

[5] A. Dold, Homology of symmetric products and other functors of complexes (Ann. of Math., vol. 68, 1958, p. 54-80). | MR | Zbl

[6] A. Dold, Sur les opérations de Steenrod (Colloque international du C. N. R. S., Topologie algébrique et géométrie différentielle, Lille, 1959). | Numdam | MR | Zbl

[7] A. Dold, Relations between ordinary and extraordinary cohomology (Notes, Aarhus Colloquium on Algebraic Topology, Aarhus, 1962). | Zbl

[8] S. Eilenberg et S. Maclane, Acyclic models (Amer. J. Math., vol. 15, 1953, p. 189-199). | MR | Zbl

[9] S. Eilenberg et N. E. Steenrod, Foundations of Algebraic Topology, Princeton Math. ser., n° 15. | Zbl

[10] S. Eilenberg et J. Zilber, On products on complexes (Amer. J. Math., vol. 15, 1953, p. 200-204). | MR | Zbl

[11] A. Gramain, Sur les immersions de codimension 1 qui sont des bords (Thèse, Faculté des Sciences d'Orsay, 1969).

[12] A. Haefliger, Plongements différentiables de variétés dans variétés (Comm. Math. Helv., vol. 36, 1961, p. 47-82). | MR | Zbl

[13] M. Hirsch, Immersions of manifolds (Trans. Amer. Math. Soc., vol. 93, 1959, p. 242-276). | MR | Zbl

[14] W. C. Hsiang et C. T. C. Wall, Orientability of manifolds for generalized homology theories (Trans. Amer. Math. Soc., vol. 118, 1965, p. 352-359). | MR | Zbl

[15] A. Liulevicius, A theorem in homological algebra and stable homotopy of projective spaces (Trans. Amer. Math. Soc., vol. 109, 1963, p. 540-552). | MR | Zbl

[16] J. W. Milnor, On the immersion of n-manifolds in (n + 1)-space (Comm. Math. Helv., vol. 30, 1956, p. 275-284). | MR | Zbl

[17] J. W. Milnor, The Steenrod algebra and its dual (Ann. of Math., vol. 67, 1958, p. 150-171). | MR | Zbl

[18] J. W. Milnor, On spaces having the homotopy type of a CW-complex (Trans. Amer. Math. Soc., vol. 90, 1959, p. 272-280). | MR | Zbl

[19] M. Nakaoka, Cohomology mod p of symmetric products of spheres (J. Inst. Polyt., Osaka City University, vol. 10, 1959, p. 67-89). | MR | Zbl

[20] M. Nakaoka, Homology of the infinite symmetric group (Ann. of Math., vol. 73, 1961, p. 229-257). | MR | Zbl

[21] V. Poenaru, Sur la théorie des immersions (Topology, vol. 1, 1962, p. 81-100). | MR | Zbl

[22] L. Siebenmann, Le fibré tangent, fascicule II, Centre de Mathématiques de l'École Polytechnique, Paris, 1969. | Zbl

[23] S. Smale, The classification of immersions of spheres in euclidian spaces (Ann. of Math., vol. 69, 1959, p. 327-344). | MR | Zbl

[24] E. H. Spanier, Algebraic topology, Mc Graw-Hill Book Company, New York, 1966. | MR | Zbl

[25] N. E. Steenrod, Homology groups of symmetric groups and reduced power operation. Cyclic reduced powers of cohomology classes (Proc. Nat. Acad. Sci., U. S. A., vol. 39, 1953, p. 213-223). | MR | Zbl

[26] N. E. Steenrod, Cohomology operations derived from the symmetric group (Comm. Math. Helv., vol. 31, 1957, p. 195-218). | MR | Zbl

[27] N. E. Steenrod, Cohomology operations and obstructions to extending continuous functions (Colloquium lecture notes, Princeton University, 1957).

[28] N. E. Steenrod et D. B. A. Epstein, Cohomology operations, Princeton University Press, 1962. | MR | Zbl

[29] R. E. Stong, Cobordism of maps (Topology, vol. 5, 1966, p. 245-258). | MR | Zbl

[30] R. E. Stong, Notes on cobordism theory, Princeton University Press, 1968. | MR | Zbl

[31] R. Thom, Quelques propriétés globales des variétés différentiables (Comm. Math. Helv., vol. 28, 1954, p. 17-86). | MR | Zbl

[32] R. Thom, La classification des immersions (Séminaire Bourbaki, n° 157, décembre 1957). | Numdam | MR | Zbl

[33] R. Wells, Cobordism groups of immersions (Topology, vol. 5, 1966, p. 281-294). | MR | Zbl

[34] G. W. Whitehead, Generalized homology theories (Trans. Amer. Math. Soc., vol. 102, 1962, p. 227-283). | MR | Zbl

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