Opérations d'Adams en K-homologie et applications

 Access to full text

 Full (PDF)

1. [1] ADAMS (J. F.). — Stable homotopy and generalised homology, Chicago, (a) p. 93-102 ; (b) p. 46-55 ; (c) p. 146-158. 
2. [2] ANDERSON (W.). — Universal coefficient theorems for K-theory, Preprint. 
3. [3] ATIYAH (M. F.). — K-theory, Benjamin, p. 102-108. 
4. [4] BROWDER (W.). — Algebraic K-theory with coefficient Z/p, dans Geometric applications of homotopy theory I, Lecture Notes, n° 657, 1977, p. 40-85. Zbl0386.18011MR80b:18011
5. [5] GERSTERN (S. M.). — Higher K-theory of rings, dans Algebraic K-theory I, Lecture Notes, n° 341, 1972, p. 3-42. Zbl0285.18010MR52 #3282
6. [6] KNAPP (K.). — On the bi-stable J-homomorphism, dans Algebraic topology, Aarhus, Lecture Notes, n° 763, 1978, p. 13-22. Zbl0429.55005MR81d:55018
7. [7] MAY (P.). — E∞ Ring spaces and E∞ ring spectra, Lecture Notes, n° 577, p. 32-39 et 208-234. 
8. [8] MOSHER (R. E.). — Some stable homotopy of complex projective space, Topology, vol. 7, 1968, p. 179-194. Zbl0172.25103MR37 #3569
9. [9] SNAITH (V.). — (a) Dyer-lashof operations in K-theory, Lecture Notes, n° 496, p. 198-207 ; (b) Algebraic cobordism and K-theory ; Mem. Am. Math. Soc. vol. 221, 1979. Zbl0413.55004MR52 #15463
10. [10] ARAKI (S.) and TODA (H.). — Multiplicative structures in mod. q cohomology theories, Osaka J. Math., vol. 2, 1965, p. 71-115. Zbl0129.15201MR32 #449
11. [11] TORNEHAVE (J.). — Delooping the Quillen map, Thèse M.I.T., 1971. 
12. [12] ADAMS (J. F.)HARRIS (A. S.) and SWITZER (R. M.). — Hopf algebras of cooperations for real and complex K-theory, Proc. London Math. Soc., vol. 23, 1971, p. 385-408. Zbl0233.55014MR45 #2694

1. Nigel Ray, Lionel Schwartz, Construction d’éléments dans ${\pi }_{*}^S\left(BU\left(2\right)\right)$
2. Francis Clarke, $p$-adic analysis and operations in $K$-theory
3. Vincent Franjou, Quelques éléments dans l'homotopie stable du groupe unitaire