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