L'homotopie stable des groupes classiques d'après R. Bott. Applications

Michel A. Kervaire

Séminaire Bourbaki (1958-1960)

  • Volume: 5, page 51-60
  • ISSN: 0303-1179

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Kervaire, Michel A.. "L'homotopie stable des groupes classiques d'après R. Bott. Applications." Séminaire Bourbaki 5 (1958-1960): 51-60. <http://eudml.org/doc/109600>.

@article{Kervaire1958-1960,
author = {Kervaire, Michel A.},
journal = {Séminaire Bourbaki},
keywords = {topology},
language = {fre},
pages = {51-60},
publisher = {Société Mathématique de France},
title = {L'homotopie stable des groupes classiques d'après R. Bott. Applications},
url = {http://eudml.org/doc/109600},
volume = {5},
year = {1958-1960},
}

TY - JOUR
AU - Kervaire, Michel A.
TI - L'homotopie stable des groupes classiques d'après R. Bott. Applications
JO - Séminaire Bourbaki
PY - 1958-1960
PB - Société Mathématique de France
VL - 5
SP - 51
EP - 60
LA - fre
KW - topology
UR - http://eudml.org/doc/109600
ER -

References

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  1. [1] Borel ( A.) et Hirzebruch ( F.). - Characteristic classes and homogeneous spaces, I., Amer. J. of Math., t. 80, 1958, p. 458-538 ; et suivants (à paraître). Zbl0097.36401MR102800
  2. [2] Bott ( Raoul). - Nondegenerate critical manifolds, Annals of Math., Series 2, t. 60, 1954, p. 248-261. Zbl0058.09101MR64399
  3. [3] Bott ( Raoul). - An application of the Morse theory to the topology of Lie-groups, Bull. Soc. math. France, t. 84, 1956, p. 251-281. Zbl0073.40001MR87035
  4. [4] Bott ( Raoul). - The stable homotopy of the classical groups, Proc. nat. Acad. Sc. U. S. A., t. 43, 1957, p. 933-935. Zbl0093.03401MR102802
  5. [5] Bott ( Raoul). - Même titre. Version détaillée, à paraître. 
  6. [6] Bott ( R.) et Milnor ( J.) . - On the parallolizability of the spheres, Bull. Amer. math. Soc., t. 64, 1958, p. 87-89. Zbl0082.16602MR102804
  7. [7] Eckmann ( Beno ) . - Système von Richtungsfeldern in Sphären und stetige Lösungen komplexer linearer Gleichungen, Comment. math. Helvet. t. 15, 1942, p. 1-26. Zbl0027.14401MR7645
  8. [8] Hopf ( Heinz). - Über die Abbildungen von Sphären auf Sphären niedrigerer Dimension, Fund. Math., t. 25, 1935, p. 427-440. Zbl0012.31902
  9. [9] Kervaire ( Michel A. ) . - Non-parallelizability of the n-sphere for n &gt; 7 , Proc. nat. Acad. Sc. U. S. A., t. 44, 1958, p. 280-283. Zbl0093.37303
  10. [10] Bervaire ( Michel A.). - A note on obstructions and characteristic classes, soumis à American Journal of Mathematics. Zbl0124.16302
  11. [11] Kervaire ( Michel A.). - Some non-stable homotopy groups of Lie-groups (soumis à Illinois Journal of Mathematics). Zbl0105.35302
  12. [12] Kervaire ( M.) et Milnor ( J.). - Bernoulli numbers, homotopy groups and a theorem of Rohlin, Proc. intern. Congress of Math. [1958. Edinburgh] (à paraître). Zbl0119.38503
  13. [13] Milnor ( John). - On the Whitehead homomorphism J , Bull. Amer. math. Soc., t. 64, 1958, p. 79-82. Zbl0105.17101MR102808
  14. [14] Milnor ( John). - On the cobordism ring Ω* , and a complex analogue (à paraître). Zbl0095.16702
  15. [15] Morse ( Marston). - The calculus of variations in the large. - New York, American mathematical Society, 1934 (American mathematical Society Colloquium Publications, 18). Zbl0011.02802MR1451874
  16. [16] Paechter ( G.F.). - The groups πr(Vn,m) , Quarterly J. of Math. t. 7, 1956, p. 249-268. Zbl0073.18402
  17. [17] Peterson ( F.). - Some remarks on Chern classes, Annals of Math. (à paraître). Zbl0123.16502
  18. [18] Stiefel ( E.). - Richtungsfelder und Fernparallelismus in n-dimonsionalen Mannigfaltigkeiten, Comment. math. Helvet. t. 8, 1935, p. 305-353. Zbl0014.41601MR1509530
  19. [19] Thom ( René). - Sur une partition en cellules associée à une fonction sur une variété, C. R. Acad. Sc. Paris, t. 228, 1949, p. 973-975. Zbl0034.20802MR29160
  20. [20] Whitehead ( George W.). - Homotopy properties of the real orthogonal groups, Annals of Math., Series 2, t. 43, 1942, p. 132-146. Zbl0060.41415MR5737
  21. [21] Whitehead ( George W. ) . - On the homology suspension, Annals of Math., Series 2, t. 62, 1955, p. 254-268. Zbl0067.41201MR73989

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