Cobordisme d'immersions
Vogel, Pierre
Annales scientifiques de l'École Normale Supérieure, Tome 7 (1974), p. 317-357 / Harvested from Numdam
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@article{ASENS_1974_4_7_3_317_0,
     author = {Vogel, Pierre},
     title = {Cobordisme d'immersions},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {7},
     year = {1974},
     pages = {317-357},
     doi = {10.24033/asens.1272},
     mrnumber = {51 \#9082},
     zbl = {0302.57011},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/ASENS_1974_4_7_3_317_0}
}

Vogel, Pierre. Cobordisme d'immersions. Annales scientifiques de l'École Normale Supérieure, Tome 7 (1974) pp. 317-357. doi : 10.24033/asens.1272. http://gdmltest.u-ga.fr/item/ASENS_1974_4_7_3_317_0/

[1] J. Adem, The relations on Steenrod powers of cohomology classes. Algebraic Geometry and Topology, Princeton University Press, 1956, p. 191-238. | MR 19,50c | Zbl 0199.26104

[2] M. F. Atiyah, Immersions and embeddings of manifolds (Topology, vol. 1, 1961, p. 125-132). | MR 26 #3080 | Zbl 0109.41101

[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 17,1040e | Zbl 0075.24305

[5] A. Dold, Homology of symmetric products and other functors of complexes (Ann. of Math., vol. 68, 1958, p. 54-80). | MR 20 #3537 | Zbl 0082.37701

[6] A. Dold, Sur les opérations de Steenrod (Colloque international du C. N. R. S., Topologie algébrique et géométrie différentielle, Lille, 1959). | Numdam | MR 22 #7116 | Zbl 0196.55703

[7] A. Dold, Relations between ordinary and extraordinary cohomology (Notes, Aarhus Colloquium on Algebraic Topology, Aarhus, 1962). | Zbl 0145.20104

[8] S. Eilenberg et S. Maclane, Acyclic models (Amer. J. Math., vol. 15, 1953, p. 189-199). | MR 14,670b | Zbl 0050.17205

[9] S. Eilenberg et N. E. Steenrod, Foundations of Algebraic Topology, Princeton Math. ser., n° 15. | Zbl 0047.41402

[10] S. Eilenberg et J. Zilber, On products on complexes (Amer. J. Math., vol. 15, 1953, p. 200-204). | MR 14,670c | Zbl 0050.17301

[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 26 #3069 | Zbl 0102.38603

[13] M. Hirsch, Immersions of manifolds (Trans. Amer. Math. Soc., vol. 93, 1959, p. 242-276). | MR 22 #9980 | Zbl 0113.17202

[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 31 #1670 | Zbl 0142.40602

[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 27 #6270 | Zbl 0134.19202

[16] J. W. Milnor, On the immersion of n-manifolds in (n + 1)-space (Comm. Math. Helv., vol. 30, 1956, p. 275-284). | MR 18,60b | Zbl 0070.40202

[17] J. W. Milnor, The Steenrod algebra and its dual (Ann. of Math., vol. 67, 1958, p. 150-171). | MR 20 #6092 | Zbl 0080.38003

[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 20 #6700 | Zbl 0084.39002

[19] M. Nakaoka, Cohomology mod p of symmetric products of spheres (J. Inst. Polyt., Osaka City University, vol. 10, 1959, p. 67-89). | MR 22 #12519c | Zbl 0092.15601

[20] M. Nakaoka, Homology of the infinite symmetric group (Ann. of Math., vol. 73, 1961, p. 229-257). | MR 24 #A1721 | Zbl 0099.25301

[21] V. Poenaru, Sur la théorie des immersions (Topology, vol. 1, 1962, p. 81-100). | MR 27 #2992 | Zbl 0105.17202

[22] L. Siebenmann, Le fibré tangent, fascicule II, Centre de Mathématiques de l'École Polytechnique, Paris, 1969. | Zbl 0228.57010

[23] S. Smale, The classification of immersions of spheres in euclidian spaces (Ann. of Math., vol. 69, 1959, p. 327-344). | MR 21 #3862 | Zbl 0089.18201

[24] E. H. Spanier, Algebraic topology, Mc Graw-Hill Book Company, New York, 1966. | MR 35 #1007 | Zbl 0145.43303

[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 14,1005d | Zbl 0050.39401

[26] N. E. Steenrod, Cohomology operations derived from the symmetric group (Comm. Math. Helv., vol. 31, 1957, p. 195-218). | MR 19,1069i | Zbl 0077.16701

[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 26 #3056 | Zbl 0102.38104

[29] R. E. Stong, Cobordism of maps (Topology, vol. 5, 1966, p. 245-258). | MR 33 #4945 | Zbl 0144.22702

[30] R. E. Stong, Notes on cobordism theory, Princeton University Press, 1968. | MR 40 #2108 | Zbl 0181.26604

[31] R. Thom, Quelques propriétés globales des variétés différentiables (Comm. Math. Helv., vol. 28, 1954, p. 17-86). | MR 15,890a | Zbl 0057.15502

[32] R. Thom, La classification des immersions (Séminaire Bourbaki, n° 157, décembre 1957). | Numdam | MR 21 #4429 | Zbl 0116.40504

[33] R. Wells, Cobordism groups of immersions (Topology, vol. 5, 1966, p. 281-294). | MR 33 #4946 | Zbl 0145.20202

[34] G. W. Whitehead, Generalized homology theories (Trans. Amer. Math. Soc., vol. 102, 1962, p. 227-283). | MR 25 #573 | Zbl 0124.38302