Homotopy epimorphisms and Lusternik-Schnirelmann category
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- by James A. Draper PDF
- Proc. Amer. Math. Soc. 50 (1975), 471-476 Request permission
Abstract:
This paper examines the relationship of the Lusternik-Schnirelmann category and related numerical homotopy invariants to the epimorphisms in the homotopy category. The results are of the form: if $N$ is a numerical homotopy invariant and $f:X \to Y$ is an epimorphism, then under certain hypotheses $N(X) \geq N(Y)$. The Eckmann-Hilton dual of the main result is also included; as a corollary, a criterion is given for a categorical subobject of an $H$-space to be an $H$-space.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 471-476
- MSC: Primary 55C30
- DOI: https://doi.org/10.1090/S0002-9939-1975-0367983-5
- MathSciNet review: 0367983