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Elliptic spaces
Authors:
Yves Félix, Stephen Halperin and Jean-Claude Thomas
Journal:
Bull. Amer. Math. Soc. 25 (1991), 69-73
MSC (1985):
Primary 55P35, 57P10, 57T25
MathSciNet review:
1085825
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
David
J. Anick, Hopf algebras up to homotopy,
J. Amer. Math. Soc. 2 (1989), no. 3, 417–453. MR 991015
(90c:16007), http://dx.doi.org/10.1090/S0894-0347-1989-0991015-7
- 2.
Yves
Félix, Stephen
Halperin, and Jean-Claude
Thomas, The homotopy Lie algebra for finite complexes, Inst.
Hautes Études Sci. Publ. Math. 56 (1982),
179–202 (1983). MR 686046
(85c:55010)
- 3.
Yves
Félix, Stephen
Halperin, and Jean-Claude
Thomas, Hopf algebras of polynomial growth, J. Algebra
125 (1989), no. 2, 408–417. MR 1018954
(90j:16021), http://dx.doi.org/10.1016/0021-8693(89)90173-7
- 4.
Yves
Félix, Stephen
Halperin, and Jean-Claude
Thomas, Elliptic Hopf algebras, J. London Math. Soc. (2)
43 (1991), no. 3, 545–555. MR 1113392
(92i:57033), http://dx.doi.org/10.1112/jlms/s2-43.3.545
- 5.
Y. Félix, S. Halperin, and J.-C. Thomas, The Serre spectral sequence of a multiplicative fibration (in preparation).
- 6.
Yves
Félix, Stephen
Halperin, and Jean-Claude
Thomas, Torsion in loop space homology, J. Reine Angew. Math.
432 (1992), 77–92. MR 1184760
(93i:55012), http://dx.doi.org/10.1016/S0040-9383(03)00048-X
- 7.
Y. Félix, S. Halperin, and J.-C. Thomas, Dupin hypersurfaces are elliptic, preprint.
- 8.
John
B. Friedlander and Stephen
Halperin, An arithmetic characterization of the rational homotopy
groups of certain spaces, Invent. Math. 53 (1979),
no. 2, 117–133. MR 560410
(81f:55006b), http://dx.doi.org/10.1007/BF01390029
- 9.
T.
H. Gulliksen, On the deviations of a local ring, Math. Scand.
47 (1980), no. 1, 5–20. MR 600076
(82c:13022)
- 10.
Stephen
Halperin, Finiteness in the minimal models of
Sullivan, Trans. Amer. Math. Soc. 230 (1977), 173–199. MR 0461508
(57 #1493), http://dx.doi.org/10.1090/S0002-9947-1977-0461508-8
- 11.
Stephen
Halperin, Spaces whose rational homology and de Rham homotopy are
both finite-dimensional, Algebraic homotopy and local algebra (Luminy,
1982) Astérisque, vol. 113, Soc. Math. France, Paris, 1984,
pp. 198–205. MR 749058
(86a:55015)
- 12.
Stephen
Halperin, Universal enveloping algebras and loop space
homology, J. Pure Appl. Algebra 83 (1992),
no. 3, 237–282. MR 1194839
(93k:55014), http://dx.doi.org/10.1016/0022-4049(92)90046-I
- 13.
C.
A. McGibbon and C.
W. Wilkerson, Loop spaces of finite complexes at
large primes, Proc. Amer. Math. Soc.
96 (1986), no. 4,
698–702. MR
826505 (87h:55015), http://dx.doi.org/10.1090/S0002-9939-1986-0826505-X
- 14.
John
W. Milnor and John
C. Moore, On the structure of Hopf algebras, Ann. of Math. (2)
81 (1965), 211–264. MR 0174052
(30 #4259)
- 15.
Jean-Pierre
Serre, Homologie singulière des espaces fibrés.
Applications, Ann. of Math. (2) 54 (1951),
425–505 (French). MR 0045386
(13,574g)
- 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:
http://dx.doi.org/10.1090/S0273-0979-1991-16027-1
PII:
S 0273-0979(1991)16027-1
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