2019
Том 71
№ 7

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Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds

Bondar' O. P.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 6, pp 947-951.

Citation Example: Bondar' O. P. Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds // Ukr. Mat. Zh. - 1996. - 48, № 6. - pp. 843-846.

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