Free loop spaces of finite complexes have infinite category
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- by Y. Félix, J. C. Thomas and M. Vigué-Poirrier
- Proc. Amer. Math. Soc. 111 (1991), 869-875
- DOI: https://doi.org/10.1090/S0002-9939-1991-1025277-8
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Abstract:
Let $X$ be a $1$-connected space such that each ${H_i}(X;\mathbb {Z})$ is finitely generated. In this paper we prove that if the reduced homology of $X$ with coefficients in a field is nonzero, then the Lusternik-Schnirelmann category of the free loop space is infinite.References
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Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 869-875
- MSC: Primary 55P50; Secondary 55P62
- DOI: https://doi.org/10.1090/S0002-9939-1991-1025277-8
- MathSciNet review: 1025277