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.
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| Datum: | 1996 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1996
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5284 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511500933791744 |
|---|---|
| author | Bondar', O. P. Бондарь, О. П. Бондарь, О. П. |
| author_facet | Bondar', O. P. Бондарь, О. П. Бондарь, О. П. |
| author_sort | Bondar', O. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:29:27Z |
| description | 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. |
| first_indexed | 2026-03-24T03:13:53Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5284 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:13:53Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/54/58d78d10dde662c5a6a0294ce1e5af54.pdf |
| spelling | umjimathkievua-article-52842020-03-18T21:29:27Z Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds Обобщенная (когомологическая длина многообразия и функции с сингулярными подмногообразиями Bondar', O. P. Бондарь, О. П. Бондарь, О. П. 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. Введено топологічний інваріант мної овиду, в термінах якого дано оцінку його узагальненої категорії Люстерніка - Шнірельмана та оцінку мінімального числа сингулярних нідмноговидів функції на ньому. Institute of Mathematics, NAS of Ukraine 1996-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5284 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 6 (1996); 843-846 Український математичний журнал; Том 48 № 6 (1996); 843-846 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5284/7260 https://umj.imath.kiev.ua/index.php/umj/article/view/5284/7261 Copyright (c) 1996 Bondar' O. P. |
| spellingShingle | Bondar', O. P. Бондарь, О. П. Бондарь, О. П. Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds |
| title | Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds |
| title_alt | Обобщенная (когомологическая длина многообразия и функции с сингулярными подмногообразиями |
| title_full | Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds |
| title_fullStr | Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds |
| title_full_unstemmed | Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds |
| title_short | Generalized (CO)Homology length of a Manifold and functions with Singular Submanifolds |
| title_sort | generalized (co)homology length of a manifold and functions with singular submanifolds |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5284 |
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