Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds
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We introduce a topological invariant of a manifold. In terms of this invariant, we obtain an estimate for the generalized Lyustemik-Shnirel’man category of the manifold considered and an estimate for the minimal number of singular submanifolds of a function on this manifold.
KeywordsCompact Manifold Smooth Submanifolds Critical Circle Poincar6 Duality Connected Level
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