Sur les immersions de codimension 1 qui sont des bords

André Gramain

Annales scientifiques de l'École Normale Supérieure (1970)

  • Volume: 3, Issue: 2, page 111-184
  • ISSN: 0012-9593

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Gramain, André. "Sur les immersions de codimension $1$ qui sont des bords." Annales scientifiques de l'École Normale Supérieure 3.2 (1970): 111-184. <http://eudml.org/doc/81858>.

@article{Gramain1970,
author = {Gramain, André},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {fre},
number = {2},
pages = {111-184},
publisher = {Elsevier},
title = {Sur les immersions de codimension $1$ qui sont des bords},
url = {http://eudml.org/doc/81858},
volume = {3},
year = {1970},
}

TY - JOUR
AU - Gramain, André
TI - Sur les immersions de codimension $1$ qui sont des bords
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1970
PB - Elsevier
VL - 3
IS - 2
SP - 111
EP - 184
LA - fre
UR - http://eudml.org/doc/81858
ER -

References

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  1. [1] J. F. ADAMS, On the non-existence of elements of Hopf invariant one (Ann. of. Math., vol. 72, 1960, p. 20-104). Zbl0096.17404MR25 #4530
  2. [2] J. F. ADAMS, On the groups J(X) (Topology, vol. 4, 1966, p. 21-72). Zbl0145.19902MR33 #6628
  3. [3] M. ATIYAH, Thom complexes (Proc. London Math. Soc., vol. 3, 1961, p. 291-310). Zbl0124.16301MR24 #A1727
  4. [4] R. BOTT, The stable homotopy of the classical groups (Ann. of Math., vol. 70, 1959, p. 313-337). Zbl0129.15601MR22 #987
  5. [5] J. CERF, Topologie de certains espaces de plongements (Bull. Soc. math. Fr., t. 89, 1961, p. 227-380). Zbl0101.16001MR25 #3543
  6. [6] A. HAEFLIGER, Plongements différentiables de variétés dans variétés (Comm. Math. Helv., vol. 36, 1961, p. 47-82). Zbl0102.38603MR26 #3069
  7. [7] M. HIRSCH, Immersions of manifolds (Trans. A. M. S., vol. 93, 1959, p. 242-276). Zbl0113.17202MR22 #9980
  8. [8] F. HIRZEBRUCH, Neue topologische Methoden in der algebraischen Geometrie, Springer, Berlin, 1956. Zbl0070.16302MR18,509b
  9. [9] H. HOPF, Ueber die Curvatura integra geschlossener Hyperflächen (Math. Annalen, vol. 95, 1925, p. 340-367). Zbl51.0566.02JFM51.0566.02
  10. [10] A. HOWARD, On the homotopy groups of an affine algebraic hypersurface (Ann. of Math., vol. 84, 1966, p. 197-216). Zbl0144.20001MR35 #4946
  11. [11] M. KERVAIRE, Courbure intégrale généralisée et homotopie (Math. Annalen, vol. 131, 1956, p. 219-252). Zbl0072.18202MR19,160b
  12. [12] M. KERVAIRE, An interpretation of G. Whitehead's generalization of the Hopf invariant (Ann. of Math., vol. 69, 1959, p. 345-364). Zbl0088.39205MR21 #1595
  13. [13] M. KERVAIRE, Relative characteristic classes (Amer. J. Math., vol. 79, 1957, p. 517-558). Zbl0173.51201MR19,760c
  14. [14] M. KERVAIRE, Non-parallelizability of the n-sphere for n &gt; 7 (Proc. Nat. Acad. Sc., vol. 44, 1958, p. 280-283). Zbl0093.37303
  15. [15] M. KERVAIRE, Some nonstable homotopy groups of Lie groups (Illinois J. Math., vol. 4, 1960, p. 161-169). Zbl0105.35302MR22 #4075
  16. [16] M. KERVAIRE et J. MILNOR, Bernoulli numbers, homotopy groups and a theorem of Rohlin (Proc. intern. congress of math., Edinburgh, 1958). Zbl0119.38503
  17. [17] M. KERVAIRE et J. MILNOR, Groups of homotopy-spheres. Part I (Ann. of Math., vol. 77, 1963, p. 504-537) ; Part II (à paraître). Zbl0115.40505MR26 #5584
  18. [18] J. MILNOR, On the immersion of n-manifolds in (n + 1)-space (Comm. Math. Helv., vol. 30, 1956, p. 275-284). Zbl0070.40202MR18,60b
  19. [19] J. MILNOR, On simply connected 4-manifolds (Symp. intern. de top. alg., Mexico, 1956, p. 122-128). Zbl0105.17204MR21 #2240
  20. [20] V. POENARU, Sur la théorie des immersions (Topology, vol. 1, 1962, p. 81-100). Zbl0105.17202MR27 #2992
  21. [21] V. POENARU, On regular homotopy in codimension I (Ann. of Math., vol. 83, 1966, p. 257-265). Zbl0142.41105MR33 #732
  22. [22] V. POENARU, Extension des immersions de codimension I (d'après S. Blanck) (Sém. Bourbaki, n° 342, février 1968). Zbl0223.57013
  23. [23] S. SMALE, The classification of immersions of spheres in euclidean spaces (Ann. of Math., vol. 69, 1959, p. 327-344). Zbl0089.18201MR21 #3862
  24. [24] R. THOM, Quelques propriétés globales des variétés différentiables (Comm. Math. Helv., vol. 28, 1956, p. 17-86). Zbl0057.15502MR15,890a
  25. [25] R. THOM, La classification des immersions (d'après S. Smale) (Sém. Bourbaki, n° 157, décembre 1957). Zbl0116.40504MR21 #4429
  26. [26] C. T. C. WALL, Survey of differential topology (J. London Math. Soc., vol. 40, 1965, p. 1-20). Zbl0171.44303MR30 #2524
  27. [27] R. WELLS, Cobordism groups of immersions (Topology, vol. 5, 1966, p. 281-294). Zbl0145.20202MR33 #4946
  28. [28] H. WHITNEY, Differentiable manifolds (Ann. of Math., vol. 37, 1936, p. 645-680). Zbl0015.32001JFM62.1454.01

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