Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary
We consider m-fields that are generalizations of the Morse–Smale vector fields for manifolds with boundary. We construct complete topological invariants of m-fields on surfaces and m-fields without closed trajectories on three-dimensional manifolds. We also prove criteria for the topological equival...
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| Datum: | 2003 |
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| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2003
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3954 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510086654328832 |
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| author | Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. |
| author_facet | Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. |
| author_sort | Prishlyak, O. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:16:01Z |
| description | We consider m-fields that are generalizations of the Morse–Smale vector fields for manifolds with boundary. We construct complete topological invariants of m-fields on surfaces and m-fields without closed trajectories on three-dimensional manifolds. We also prove criteria for the topological equivalence of m-fields. |
| first_indexed | 2026-03-24T02:51:25Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3954 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:25Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2a/c728fcf41059736640bac66d0eada22a.pdf |
| spelling | umjimathkievua-article-39542020-03-18T20:16:01Z Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary Топологическая классификация m-полей на дву- и трехмерных многообразиях с краем Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. We consider m-fields that are generalizations of the Morse–Smale vector fields for manifolds with boundary. We construct complete topological invariants of m-fields on surfaces and m-fields without closed trajectories on three-dimensional manifolds. We also prove criteria for the topological equivalence of m-fields. Розглядаються m-поля, що є узагальненням векторних полів Морса - Смейла для багатовидів iз краєм. Побудовано повні топологічні інваріанти m-полів на поверхнях i m-пол1в без замкнених траекторій на тривимйрних багатовидах. Доведено критерій тополопчпої еквівалентності. Institute of Mathematics, NAS of Ukraine 2003-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3954 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 6 (2003); 799-805 Український математичний журнал; Том 55 № 6 (2003); 799-805 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3954/4621 https://umj.imath.kiev.ua/index.php/umj/article/view/3954/4622 Copyright (c) 2003 Prishlyak O. O. |
| spellingShingle | Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary |
| title | Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary |
| title_alt | Топологическая классификация m-полей на дву- и трехмерных многообразиях с краем |
| title_full | Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary |
| title_fullStr | Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary |
| title_full_unstemmed | Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary |
| title_short | Topological Classification of m-Fields on Two- and Three-Dimensional Manifolds with Boundary |
| title_sort | topological classification of m-fields on two- and three-dimensional manifolds with boundary |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3954 |
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