Linear independence of the Morse functions on varieties
It is proved that on a smooth $n$-dimensional manifold there exist $n$ linearly independent Morse functions.
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| Date: | 1990 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1990
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8848 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513331288211456 |
|---|---|
| author | Asvad, Kh. Асвад, X. |
| author_facet | Asvad, Kh. Асвад, X. |
| author_sort | Asvad, Kh. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | It is proved that on a smooth $n$-dimensional manifold there exist $n$ linearly independent Morse functions. |
| first_indexed | 2026-03-24T03:42:59Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8848 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:42:59Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/68/ecfc9ec728582a6f595135f43976ed68.pdf |
| spelling | umjimathkievua-article-88482024-11-14T10:10:56Z Linear independence of the Morse functions on varieties О линейной независимости функций Морса на многообразиях Asvad, Kh. Асвад, X. It is proved that on a smooth $n$-dimensional manifold there exist $n$ linearly independent Morse functions. Приведено доказательство существования на гладком $n$-мерном многообразии $n$ линейно независимых функции Морса. Дано доведення існування на гладкій $n$-вимірній многостатності $n$ лінійно незалежних функцій Морса. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8848 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 835-838 Український математичний журнал; Том 42 № 6 (1990); 835-838 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8848/10268 Copyright (c) 1990 Kh. Asvad |
| spellingShingle | Asvad, Kh. Асвад, X. Linear independence of the Morse functions on varieties |
| title | Linear independence of the Morse functions on varieties |
| title_alt | О линейной независимости функций Морса на многообразиях |
| title_full | Linear independence of the Morse functions on varieties |
| title_fullStr | Linear independence of the Morse functions on varieties |
| title_full_unstemmed | Linear independence of the Morse functions on varieties |
| title_short | Linear independence of the Morse functions on varieties |
| title_sort | linear independence of the morse functions on varieties |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8848 |
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