Genus and the Lyusternik-Schnirelmann category of preimages
Abstract
In this paper some axiomatic generalization (function of open subsets) of the relative Lyusternik - Schnirelmann category is considered. For this function and a given map of the underlying space to a finite polyhedron some lower bounds on the value of this function on the preimage of some point are given.
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Review
For citations:
Karasev R.N. Genus and the Lyusternik-Schnirelmann category of preimages. Modeling and Analysis of Information Systems. 2007;14(4):31-35. (In Russ.)
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