Smooth and Topological Equivalence of Functions on Surfaces
We obtain conditions under which the Morse functions defined on surfaces are smooth equivalent and functions with isolated critical (singular) points are topologically equivalent.
Збережено в:
| Дата: | 2003 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/3943 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510076751577088 |
|---|---|
| author | Sharko, V. V. Шарко, В. В. Шарко, В. В. |
| author_facet | Sharko, V. V. Шарко, В. В. Шарко, В. В. |
| author_sort | Sharko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:15:55Z |
| description | We obtain conditions under which the Morse functions defined on surfaces are smooth equivalent and functions with isolated critical (singular) points are topologically equivalent. |
| first_indexed | 2026-03-24T02:51:15Z |
| format | Article |
| fulltext |
0111
0112
0113
0114
0115
0116
0117
0118
0119
0120
0121
0122
0123
0124
|
| id | umjimathkievua-article-3943 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:15Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d1/4898a16a9f8716a106e0e3905d872ed1.pdf |
| spelling | umjimathkievua-article-39432020-03-18T20:15:55Z Smooth and Topological Equivalence of Functions on Surfaces Гладкая и топологическая эквивалентность функций на поверхностях Sharko, V. V. Шарко, В. В. Шарко, В. В. We obtain conditions under which the Morse functions defined on surfaces are smooth equivalent and functions with isolated critical (singular) points are topologically equivalent. Доведено, за яких умов функції Морса, задані па поверхнях, є гладко еквівалентними, а функції з ізольованими критичними (виродженими) точками є топологічно еквівалентними. Institute of Mathematics, NAS of Ukraine 2003-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3943 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 5 (2003); 687-700 Український математичний журнал; Том 55 № 5 (2003); 687-700 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3943/4599 https://umj.imath.kiev.ua/index.php/umj/article/view/3943/4600 Copyright (c) 2003 Sharko V. V. |
| spellingShingle | Sharko, V. V. Шарко, В. В. Шарко, В. В. Smooth and Topological Equivalence of Functions on Surfaces |
| title | Smooth and Topological Equivalence of Functions on Surfaces |
| title_alt | Гладкая и топологическая эквивалентность функций на поверхностях |
| title_full | Smooth and Topological Equivalence of Functions on Surfaces |
| title_fullStr | Smooth and Topological Equivalence of Functions on Surfaces |
| title_full_unstemmed | Smooth and Topological Equivalence of Functions on Surfaces |
| title_short | Smooth and Topological Equivalence of Functions on Surfaces |
| title_sort | smooth and topological equivalence of functions on surfaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3943 |
| work_keys_str_mv | AT sharkovv smoothandtopologicalequivalenceoffunctionsonsurfaces AT šarkovv smoothandtopologicalequivalenceoffunctionsonsurfaces AT šarkovv smoothandtopologicalequivalenceoffunctionsonsurfaces AT sharkovv gladkaâitopologičeskaâékvivalentnostʹfunkcijnapoverhnostâh AT šarkovv gladkaâitopologičeskaâékvivalentnostʹfunkcijnapoverhnostâh AT šarkovv gladkaâitopologičeskaâékvivalentnostʹfunkcijnapoverhnostâh |