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

• Date: 1996
• Main Authors: Bondar', O. P., Бондарь, О. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5284
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.