Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle
We investigate the conjugacy of Morse functions on closed surfaces. By using cellular decompositions of surfaces, we formulate a criterion for the conjugacy of Morse functions. We establish a criterion for the conjugacy of mappings into a circle with nondegenerate critical points.
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| Date: | 2000 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2000
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4547 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510683369570304 |
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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 | 2020-03-18T20:30:59Z |
| description | We investigate the conjugacy of Morse functions on closed surfaces. By using cellular decompositions of surfaces, we formulate a criterion for the conjugacy of Morse functions. We establish a criterion for the conjugacy of mappings into a circle with nondegenerate critical points. |
| first_indexed | 2026-03-24T03:00:54Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4547 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:00:54Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/43/cc4dcebd7331743d72b52f5b1a521643.pdf |
| spelling | umjimathkievua-article-45472020-03-18T20:30:59Z Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle Сопряженность функций Морса на поверхностях со значениями на прямой и окружности Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. We investigate the conjugacy of Morse functions on closed surfaces. By using cellular decompositions of surfaces, we formulate a criterion for the conjugacy of Morse functions. We establish a criterion for the conjugacy of mappings into a circle with nondegenerate critical points. Досліджується питання спряженості функцій Морса на замкнених поверхнях. З використанням клітинних розбиттів поверхні сформульовано критерій спряженості функцій Морса. Встановлено критерій спряженості відображень в коло з невирождепими критичними точками. Institute of Mathematics, NAS of Ukraine 2000-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4547 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 10 (2000); 1421-1425 Український математичний журнал; Том 52 № 10 (2000); 1421-1425 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4547/5798 https://umj.imath.kiev.ua/index.php/umj/article/view/4547/5799 Copyright (c) 2000 Prishlyak O. O. |
| spellingShingle | Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle |
| title | Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle |
| title_alt | Сопряженность функций Морса на поверхностях со значениями на
прямой и окружности |
| title_full | Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle |
| title_fullStr | Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle |
| title_full_unstemmed | Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle |
| title_short | Conjugacy of Morse Functions on Surfaces with Values on a Straight Line and Circle |
| title_sort | conjugacy of morse functions on surfaces with values on a straight line and circle |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4547 |
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