Sur les espaces fonctionnels dont la source est le classifiant d'un groupe de Lie compact commutatif
Dehon, François-Xavier ; Lannes, Jean
Publications Mathématiques de l'IHÉS, Tome 90 (1999), p. 127-177 / Harvested from Numdam
@article{PMIHES_1999__89__127_0,
     author = {Dehon, Fran\c cois-Xavier and Lannes, Jean},
     title = {Sur les espaces fonctionnels dont la source est le classifiant d'un groupe de Lie compact commutatif},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     volume = {90},
     year = {1999},
     pages = {127-177},
     mrnumber = {2001m:55038},
     zbl = {0967.55013},
     mrnumber = {1793415},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/PMIHES_1999__89__127_0}
}
Dehon, François-Xavier; Lannes, Jean. Sur les espaces fonctionnels dont la source est le classifiant d'un groupe de Lie compact commutatif. Publications Mathématiques de l'IHÉS, Tome 90 (1999) pp. 127-177. http://gdmltest.u-ga.fr/item/PMIHES_1999__89__127_0/

[Ad1] J. F. Adams, Stable Homotopy and Generalized Homology, University of Chicago Press, 1974. | Zbl 0309.55016

[Ad2] J. F. Adams, Maps between classifying spaces II, Invent. Math., 49 (1978), 1-65. | MR 80e:55032 | Zbl 0399.55011

[Ad3] J. F. Adams, Lectures on Lie Groups, Mathematics Lecture Note Series, 1969. | MR 40 #5780 | Zbl 0206.31604

[AM] J. F. Adams et Z. Mahmud, Maps between classifying spaces, Invent. Math., 35 (1976), 1-41. | MR 54 #11331 | Zbl 0306.55019

[AS] M. F. Atiyah et G. B. Segal, Equivariant K-theory and completion, J. Diff. Geom., 3 (1969), 1-18. | MR 41 #4575 | Zbl 0215.24403

[BC] E. H. Brown et A. H. Copeland, Homology analogue of Postnikov systems, Mich. Math. Journ. 6 (1959), 313-330. | MR 22 #979 | Zbl 0093.37203

[BCM] M. Bendersky, E. B. Curtis et H. R. Miller, The unstable Adams spectral sequence for generalized homology, Topology, 3 (1978), 229-248. | MR 80g:55035 | Zbl 0395.55010

[BK] A. K. Bousfield et D. M. Kan, Homotopy limits, Completions, and Localizations, Springer LNM, 304, 1972. | MR 51 #1825 | Zbl 0259.55004

[Bo] N. Bourbaki, Algèbre, chapitres 4 à 7, Masson 1981. | Zbl 0498.12001

[CF] Conner et Floyd, The relation of cobordism to K-theories, Springer LNM, 28, 1966. | MR 35 #7344 | Zbl 0161.42802

[De] F.-X. Dehon, Espaces fonctionnels de source le classifiant de S1 et de but un espace sans p-torsion, Thèse, Paris 7 (1999).

[DMN] W. G. Dwyer, H. R. Miller et J. A. Neisendorfer, Fibrewise completion and unstable Adams spectral sequence, Israël J. Math., 66 (1989), 160-178. | MR 90i:55034 | Zbl 0686.55014

[Dr] E. Dror Farjoun, Pro-nilpotent representation of homology types, Proc. Amer. Math. Soc., 38 (1973), 657-660. | MR 47 #2593 | Zbl 0275.55017

[DS] E. Dror Farjoun et J. Smith, A Geometric Interpretation of Lannes' Functor T, Théorie de l'Homotopie, Astérisque, 191 (1990), 87-95. | MR 92h:55013 | Zbl 0723.55006

[DW1] W. G. Dwyer et C. W. Wilkerson, Smith theory and the functor T, Comm. Math. Helv., 66 (1991), 1-17. | MR 92i:55006 | Zbl 0726.55011

[DW2] W. G. Dwyer et C. W. Wilkerson, Homotopy fixed-point methods for Lie groups and finite loop spaces, Annals of Math., 139 (1994), 395-442. | MR 95e:55019 | Zbl 0801.55007

[DZ] W. G. Dwyer et A. Zabrodsky, Maps between classifying spaces, Algebraic Topology, Barcelona 1986 (proceedings), Springer LNM, 1298 (1987), 106-119. | MR 89b:55018 | Zbl 0646.55007

[KW] N. J. Kuhn et M. Winstead, On the torsion in the cohomology of certain mapping spaces, Topology, 35 (1996), 875-881. | MR 97d:55013 | Zbl 0861.55019

[Hi] P. Hilton, Homotopy Theory and Duality, Notes on mathematics and its applications, 1965. | MR 33 #6624

[La1] J. Lannes, Sur la cohomologie modulo p des p-groupes abéliens élémentaires, Proc. Durham Symposium on Homotopy Theory 1985, London Math. Soc. LNS, 117, Camb. Univ. Press, 1987, 97-116. | MR 89e:55037 | Zbl 0654.55013

[La2] J. Lannes, Sur les espaces fonctionnels dont la source est le classifiant d'un p-groupe abélien élémentaire, Publ. Math. IHES, 75 (1992), 135-244. | Numdam | MR 93j:55019 | Zbl 0857.55011

[LZ1] J. Lannes et S. Zarati, Sur les U-injectifs, Ann. Scient. Ec. Norm. Sup., 19 (1986), 1-31. | Numdam | MR 89a:55032 | Zbl 0608.18006

[LZ2] J. Lannes et S. Zarati, Théorie de Smith algébrique et classification des H*V - U-injectifs, Bull. Soc. Math. France, 123 (1995), 189-223. | Numdam | MR 96c:55003 | Zbl 0862.55002

[Mi] H. R. Miller, The Sullivan conjecture on maps from classifying spaces, Annals of Math., 120 (1984), 39-87. | MR 85i:55012 | Zbl 0552.55014

[Mo1] F. Morel, Quelques remarques sur la cohomologie modulo p des pro-p-espaces et les résultats de Jean Lannes concernant les espaces fonctionnels hom(BV, X), Ann. Scient. Ec. Norm. Sup., 26 (1993), 309-360. | Numdam | MR 94d:55027 | Zbl 0845.55015

[Mo2] F. Morel, Ensembles profinis simpliciaux et interprétation géométrique du foncteur T, Bull. Soc. Math. France, 124 (1996), 347-373. | Numdam | MR 97k:55014 | Zbl 0868.55015

[Not] D. Notbohm, Maps between classifying spaces, Math. Z., 207 (1991), 153-168. | MR 92b:55017 | Zbl 0731.55011

[Nov] S. P. Novikov, The methods of algebraic topology from the viewpoint of cobordism theories, Math. USSR, Izv., 1 (1967), 827-913. | Zbl 0176.52401

[NS] D. Notbohm et L. Smith, Fake Lie groups and maximal tori I, Math. Ann., 288 (1990), 637-661. | MR 92k:55012a | Zbl 0697.55006

[Sc] L. Schwartz, Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture, University of Chicago Press, 1994. | MR 95d:55017 | Zbl 0871.55001

[Sw] R. M. Switzer, Algebraic Topology - Homotopy and Homology, Grundlehren, 212 (1975). | MR 52 #6695 | Zbl 0305.55001

[Wilk] C. W. Wilkerson, lambda-ring, binomial domains, and vector bundles over CP∞, Commun. Algebra, 10 (1982), 311-328. | MR 83f:55003 | Zbl 0492.55004

[Wils] W. S. Wilson, The Ω-spectrum for Brown-Peterson cohomology, Part I, Comm. Math. Helv., 48 (1973), 45-55. | MR 48 #5055 | Zbl 0256.55007