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Elliptic spaces
Author(s):
Yves
Félix;
Stephen
Halperin;
Jean-Claude
Thomas
Journal:
Bull. Amer. Math. Soc.
25
(1991),
69-73.
MSC (1985):
Primary 55P35, 57P10, 57T25
MathSciNet review:
1085825
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References |
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Additional information
References:
- 1.
- D. Anick, Hopf algebras up to homotopy, J. Amer. Math. Soc. 2 (1989), 417-453. MR 991015
- 2.
- Y. Félix, S. Halperin, and J.-C. Thomas, The homotopy Lie algebra for finite complexes, Publ. Math. Inst. Hautes Études Sci. 56 (1983), 387-410. MR 686046
- 3.
- Y. Félix, S. Halperin, and J.-C. Thomas, Hopf algebras of polynomial growth, J. Algebra 125 (1989), 408-417. MR 1018954
- 4.
- Y. Félix, S. Halperin, and J.-C. Thomas, Elliptic Hopf algebras, J. London Math. Soc. (to appear). MR 1113392
- 5.
- Y. Félix, S. Halperin, and J.-C. Thomas, The Serre spectral sequence of a multiplicative fibration (in preparation).
- 6.
- Y. Félix, S. Halperin, and J.-C. Thomas, Torsion in loop space homology, preprint. MR 1184760
- 7.
- Y. Félix, S. Halperin, and J.-C. Thomas, Dupin hypersurfaces are elliptic, preprint.
- 8.
- J. Friedlander and S. Halperin, An arithmetic characterisation of the rational homotopy groups of certain spaces, Invent Math. 53 (1979), 117-133. MR 560410
- 9.
- T. H. Gulliksen, On the deviations of local ring, Math. Scand. 47 (1980), 5-20. MR 600076
- 10.
- S. Halperin, Finiteness in the minimal models of Sullivan, Trans. Amer. Math. Soc. 230 (1977), 173-199. MR 461508
- 11.
- S. Halperin, Spaces whose rational homology and rational homotopy are both finite dimensional, Homotopie Algébrique et Algèbre Locale (J. M. Lemaire and J. C. Thomas, eds.) Astérisque 113/114 (1984), 198-207. MR 749058
- 12.
- S. Halperin, Universal enveloping algebras and loop space homology, preprint. MR 1194839
- 13.
- C. McGibbon and C. Wilkerson, Loop spaces of finite complexes at large primes, Proc. Amer. Math. Soc. 96 (1986), 698-702. MR 826505
- 14.
- J. Milnor and J. C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211-264. MR 174052
- 15.
- J. P. Serre, Homologie singulière des espaces fibrés, Ann. of Math. (2) 54 (1951), 425-505. MR 45386
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Additional Information:
DOI:
10.1090/S0273-0979-1991-16027-1
PII:
S 0273-0979(1991)16027-1
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