On the Adams conjecture
HTML articles powered by AMS MathViewer
- by I. Dibag PDF
- Proc. Amer. Math. Soc. 87 (1983), 367-374 Request permission
Abstract:
We give a short elementary and self-contained proof to the Adams conjecture. We then present three equivalent formulations of the conjecture.References
- J. F. Adams, Vector fields on spheres, Ann. of Math. (2) 75 (1962), 603β632. MR 139178, DOI 10.2307/1970213
- J. F. Adams, On the groups $J(X)$. I, Topology 2 (1963), 181β195. MR 159336, DOI 10.1016/0040-9383(63)90001-6
- J. F. Adams, On the groups $J(X)$. II, Topology 3 (1965), 137β171. MR 198468, DOI 10.1016/0040-9383(65)90040-6
- J. F. Adams, On the groups $J(X)$. III, Topology 3 (1965), 193β222. MR 198469, DOI 10.1016/0040-9383(65)90054-6
- M. F. Atiyah and J. A. Todd, On complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 56 (1960), 342β353. MR 132552, DOI 10.1017/s0305004100034642
- J. C. Becker and D. H. Gottlieb, The transfer map and fiber bundles, Topology 14 (1975), 1β12. MR 377873, DOI 10.1016/0040-9383(75)90029-4
- Raoul Bott, A note on the $KO$-theory of sphere-bundles, Bull. Amer. Math. Soc. 68 (1962), 395β400. MR 153019, DOI 10.1090/S0002-9904-1962-10819-2
- Ibrahim Dibag, Degree theory for spherical fibrations, Tohoku Math. J. (2) 34 (1982), no.Β 2, 161β177. MR 664729, DOI 10.2748/tmj/1178229249
- Daniel G. Quillen, Some remarks on etale homotopy theory and a conjecture of Adams, Topology 7 (1968), 111β116. MR 227988, DOI 10.1016/0040-9383(68)90017-7
- Daniel Quillen, The Adams conjecture, Topology 10 (1971), 67β80. MR 279804, DOI 10.1016/0040-9383(71)90018-8
- Dennis Sullivan, Genetics of homotopy theory and the Adams conjecture, Ann. of Math. (2) 100 (1974), 1β79. MR 442930, DOI 10.2307/1970841
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 367-374
- MSC: Primary 55R50; Secondary 55M25, 55R25
- DOI: https://doi.org/10.1090/S0002-9939-1983-0681851-5
- MathSciNet review: 681851