Finite CW complexes with maximal torsion gaps
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- by Huale Huang
- Proc. Amer. Math. Soc. 124 (1996), 2871-2875
- DOI: https://doi.org/10.1090/S0002-9939-96-03302-3
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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
- Yves Félix, La dichotomie elliptique-hyperbolique en homotopie rationnelle, Astérisque 176 (1989), 187 (French, with English summary). MR 1035582
- Yves Félix and Stephen Halperin, Rational LS category and its applications, Trans. Amer. Math. Soc. 273 (1982), no. 1, 1–38. MR 664027, DOI 10.1090/S0002-9947-1982-0664027-0
- Yves Félix, Stephen Halperin, Carl Jacobsson, Clas Löfwall, and Jean-Claude Thomas, The radical of the homotopy Lie algebra, Amer. J. Math. 110 (1988), no. 2, 301–322. MR 935009, DOI 10.2307/2374504
- Stephen Halperin, Torsion gaps in the homotopy of finite complexes. II, Topology 30 (1991), no. 3, 471–478. MR 1113690, DOI 10.1016/0040-9383(91)90026-Z
- Stephen Halperin and Gerson Levin, High skeleta of CW complexes, Algebra, algebraic topology and their interactions (Stockholm, 1983) Lecture Notes in Math., vol. 1183, Springer, Berlin, 1986, pp. 211–217. MR 846450, DOI 10.1007/BFb0075461
- H. Huang, On a conjecture of S. Halperin, Northeast Math. J. 10 (1994), 517–524.
Bibliographic 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
- Received by editor(s): August 24, 1994
- Received by editor(s) in revised form: January 19, 1995
- Communicated by: Thomas Goodwillie
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2871-2875
- MSC (1991): Primary 55P62
- DOI: https://doi.org/10.1090/S0002-9939-96-03302-3
- MathSciNet review: 1322928