A note on the category of the free loop space
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- by E. Fadell and S. Husseini PDF
- Proc. Amer. Math. Soc. 107 (1989), 527-536 Request permission
Abstract:
A useful result in critical point theory is that the LjusternikSchnirelmann category of the space of based loops on a compact simply connected manifold $M$ is infinite (because the cup length of $M$ is infinite). However, the space of free loops on $M$ may have trivial products. This note shows that, nevertheless, the space of the free loops also has infinite category.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 527-536
- MSC: Primary 55M30; Secondary 55P35, 58E10, 58F05
- DOI: https://doi.org/10.1090/S0002-9939-1989-0984789-4
- MathSciNet review: 984789