La conjecture de Sullivan

Lionel Schwartz

Séminaire Bourbaki (1984-1985)

  • Volume: 27, page 101-112
  • ISSN: 0303-1179

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Schwartz, Lionel. "La conjecture de Sullivan." Séminaire Bourbaki 27 (1984-1985): 101-112. <http://eudml.org/doc/110038>.

@article{Schwartz1984-1985,
author = {Schwartz, Lionel},
journal = {Séminaire Bourbaki},
keywords = {Sullivan conjecture; maps from the classifying space of a finite group into a finite dimensional CW-complex; unstable modules over the Steenrod algebra},
language = {fre},
pages = {101-112},
publisher = {Société Mathématique de France},
title = {La conjecture de Sullivan},
url = {http://eudml.org/doc/110038},
volume = {27},
year = {1984-1985},
}

TY - JOUR
AU - Schwartz, Lionel
TI - La conjecture de Sullivan
JO - Séminaire Bourbaki
PY - 1984-1985
PB - Société Mathématique de France
VL - 27
SP - 101
EP - 112
LA - fre
KW - Sullivan conjecture; maps from the classifying space of a finite group into a finite dimensional CW-complex; unstable modules over the Steenrod algebra
UR - http://eudml.org/doc/110038
ER -

References

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  1. [1] J.F. Adams - Stable homotopy and generalized homology, Univ. Chicago Press, 1974. Zbl0309.55016MR402720
  2. [2] M. Andre - Homologie des algèbres commutatives, Springer-Verlag, 1974 Zbl0284.18009MR352220
  3. [3] M. Barr, J. Beck - Homology and standard constructions, Lecture notes in Math.80 (1969), 245-335. Zbl0176.29003MR258917
  4. [4] A. Bousfield, D. Kan - The homotopy spectral sequence of a space with coefficients in a ring, Topology, vol. 11 (1972), 79-106. Zbl0202.22803MR283801
  5. [5] A. Bousfield, D. Kan - Homotopy limits, completions and localizations, Lecture notes in Math.304 (1972). Zbl0259.55004MR365573
  6. [6] G. Carlsson - G.B. Segal's burnside ring conjecture for (Z/2)k, Topology22 (1983), 83-103. Zbl0504.55011MR682060
  7. [7] A. Dold, D. Puppe - Homologie nicht-additiver Funktoren, Ann. Inst. Fourier11 (1961), 201-312. Zbl0098.36005MR150183
  8. [8] E. Dror , W.P. Dwyer, D. Kan - An arithmetic square for virtually nilpotent spaces, Ill. J. Math.21 (1977), 245-254. Zbl0355.55015MR438330
  9. [9] J. Lannes - Sur le n-dual du n-ème spectre de Brown-Gitler, Preprint (1984). MR954749
  10. [10] J. Lannes, S. Zarati - Invariants de Hopf..., C.R. Acad. Sci. Paris, t. 296 (1983), 695-698. Zbl0534.55009MR705694
  11. [11] C. Mc Gibbon, J. Neisendorfer - On the homotopy groups of a finite dimensional space, Comment. Math. Helv.59 (1984), 253-257. Zbl0538.55010MR749108
  12. [12] P. May - Simplicial objects in algebraic topology, Univ. Chicago Press (1967). 
  13. [13] H. Miller - Massey-Peterson towers and maps from classifying spaces, Lecture Notes in Math.1051 (1984), 401-417. Zbl0542.55016MR764593
  14. [14] H. Miller - The Sullivan conjecture on maps from classifying spaces, Ann. of Math.120 (1984), 39-87. Zbl0552.55014MR750716
  15. [15] D. Quillen - On the homology of commutative rings, Proc. Symp. Pure Math.17 (1960), 65-87. Zbl0234.18010MR257068
  16. [16] J.-P. Serre - Cohomologie modulo 2 des complexes d'Eilenberg-Mac Lane, Comment. Math. Helv.27 (1953), 198-232. Zbl0052.19501MR60234
  17. [17] W. Singer - Iterated loop functors and the homology of the Steenrod algebra, J. Pure and Appl. Alg.11 (1977), 83-101. Zbl0374.55017MR478155
  18. [18] N. Steenrod - Cohomology operations, Ann. of Math. Studies, n° 50, Princeton Univ. Press (1962). Zbl0102.38104MR145525
  19. [19] D. Sullivan, Geometric Topology, part I, M.I.T. Press (1970). MR494074
  20. [20] A. Zabrodsky, Maps between classifying spaces (to appear). Zbl0735.55011MR921480

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