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Finite CW complexes with maximal torsion gaps
Author(s):
Huale
Huang
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2871-2875.
MSC (1991):
Primary 55P62
MathSciNet review:
1322928
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Abstract:
We investigate some properties of finite CW complexes with maximal homotopy torsion gaps and prove a revision of the Halperin conjecture under an additional condition.
References:
- 1.
- Y. Félix, La dichotomie elliptique-hyperbolique en homotopie rationnelle, Asterisque 176 (1989). MR 91c:55016
- 2.
- Y. Félix and S. Halperin, Rational L.S. category and its application, Trans. Amer. Math. Soc. 273 (1982), 1--37. MR 84h:55011
- 3.
- Y. Félix, S. Halperin, C. Jacobson, C. Löfwall, and J.-C. Thomas, The radical of the homotopy Lie algebra, Amer. J. Math. 110 (1988), 301--322. MR 89d:55029
- 4.
- S. Halperin, Torsion gaps in the homotopy of finite complexes. II, Topology 30 (1991), 471--478. MR 92f:55014
- 5.
- S. Halperin and G. Levin, High skeleta of CW-complexes, Lecture Notes in Math, vol. 1183, Springer-Verlag, Berlin, 1986, pp. 211--217. MR 87m:55013
- 6.
- H. Huang, On a conjecture of S. Halperin, Northeast Math. J. 10 (1994), 517--524.
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Additional Information:
Huale
Huang
Affiliation:
Institute of Mathematics, Academia Sinica, Beijing 100080, People's Republic of China
Address at time of publication:
Ph.D. Program in Mathematics, Graduate Center, CUNY, 33 W 42 St., New York, New York 10036
Email:
hhuang@email.gc.cuny.edu
DOI:
10.1090/S0002-9939-96-03302-3
PII:
S 0002-9939(96)03302-3
Received by editor(s):
August 24, 1994
Received by editor(s) in revised form:
January 19, 1995
Communicated by:
Thomas Goodwillie
Copyright of article:
Copyright
1996,
American Mathematical Society
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