Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds
For the Morse–Smale vector fields with beh2 on three-dimensional manifolds, we construct complete topological invariants: diagram, minimal diagram, and recognizing graph. We prove a criterion for the topological equivalence of these vector fields.
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4087 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510218068164608 |
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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 | 2020-03-18T20:22:24Z |
| description | For the Morse–Smale vector fields with beh2 on three-dimensional manifolds, we construct complete topological invariants: diagram, minimal diagram, and recognizing graph. We prove a criterion for the topological equivalence of these vector fields. |
| first_indexed | 2026-03-24T02:53:30Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4087 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:53:30Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/00/c49c53df343459eb9fa2685fce91c900.pdf |
| spelling | umjimathkievua-article-40872020-03-18T20:22:24Z Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds Топологическая эквивалентность векторных полей Морса - Смейла с beh2 на трехмерных многообразия Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. For the Morse–Smale vector fields with beh2 on three-dimensional manifolds, we construct complete topological invariants: diagram, minimal diagram, and recognizing graph. We prove a criterion for the topological equivalence of these vector fields. Для векторних полів Морса - Смейла з beh 2 на тривимірних многовидах побудовано повні топологічні інваріанти: діаграму, мінімальну діаграму та розрізняючий граф. Доведено критерії топологічної еквівалентності таких векторних полів. Institute of Mathematics, NAS of Ukraine 2002-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4087 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 4 (2002); 492-500 Український математичний журнал; Том 54 № 4 (2002); 492-500 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4087/4884 https://umj.imath.kiev.ua/index.php/umj/article/view/4087/4885 Copyright (c) 2002 Prishlyak O. O. |
| spellingShingle | Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds |
| title | Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds |
| title_alt | Топологическая эквивалентность векторных полей Морса - Смейла с
beh2 на трехмерных многообразия |
| title_full | Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds |
| title_fullStr | Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds |
| title_full_unstemmed | Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds |
| title_short | Topological Equivalence of Morse–Smale Vector Fields with beh2 on Three-Dimensional Manifolds |
| title_sort | topological equivalence of morse–smale vector fields with beh2 on three-dimensional manifolds |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4087 |
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