Opérations d'Adams en K-homologie et applications

Lionel Schwartz

Bulletin de la Société Mathématique de France (1981)

  • Volume: 109, page 237-257
  • ISSN: 0037-9484

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Schwartz, Lionel. "Opérations d'Adams en K-homologie et applications." Bulletin de la Société Mathématique de France 109 (1981): 237-257. <http://eudml.org/doc/87395>.

@article{Schwartz1981,
author = {Schwartz, Lionel},
journal = {Bulletin de la Société Mathématique de France},
keywords = {algebraic K-theory spectrum of finite field; actions of the Adams operations on complex K-homology theory of infinite complex projective space; stable homotopy of infinite complex projective space},
language = {fre},
pages = {237-257},
publisher = {Société mathématique de France},
title = {Opérations d'Adams en K-homologie et applications},
url = {http://eudml.org/doc/87395},
volume = {109},
year = {1981},
}

TY - JOUR
AU - Schwartz, Lionel
TI - Opérations d'Adams en K-homologie et applications
JO - Bulletin de la Société Mathématique de France
PY - 1981
PB - Société mathématique de France
VL - 109
SP - 237
EP - 257
LA - fre
KW - algebraic K-theory spectrum of finite field; actions of the Adams operations on complex K-homology theory of infinite complex projective space; stable homotopy of infinite complex projective space
UR - http://eudml.org/doc/87395
ER -

References

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  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

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