Invariants of the Lusternik-Schnirelmann type and the topology of critical sets
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- by Mónica Clapp and Dieter Puppe PDF
- Trans. Amer. Math. Soc. 298 (1986), 603-620 Request permission
Abstract:
We introduce and study in detail generalizations of the notion of Lusternik-Schnirelmann category which give information about the topology of the critical set of a differentiable function. We also improve a result of T. Ganea about the equality of the strong category and the category (even in the classical case).References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 298 (1986), 603-620
- MSC: Primary 55M30; Secondary 55P50
- DOI: https://doi.org/10.1090/S0002-9947-1986-0860382-0
- MathSciNet review: 860382