Minimal handle decomposition of smooth simply connected five-dimensional manifolds
A theorem on the existence of the unique minimal topologic handle decomposition of differentiable simply connected five-dimensional manifolds is proved. For a decomposition of this sort, the number of handles of each index is given.
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5580 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511810086502400 |
|---|---|
| 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 | 2020-03-19T09:13:51Z |
| description | A theorem on the existence of the unique minimal topologic handle decomposition of differentiable simply connected five-dimensional manifolds is proved. For a decomposition of this sort, the number of handles of each index is given. |
| first_indexed | 2026-03-24T03:18:48Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5580 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:48Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/fc/400f2dddab46492e090c15c8e4f642fc.pdf |
| spelling | umjimathkievua-article-55802020-03-19T09:13:51Z Minimal handle decomposition of smooth simply connected five-dimensional manifolds Минимальное разложение на ручки гладких односвязных пятимерных многообрази Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. A theorem on the existence of the unique minimal topologic handle decomposition of differentiable simply connected five-dimensional manifolds is proved. For a decomposition of this sort, the number of handles of each index is given. Доведена теорема про існування єдиного мінімального топологічного розкладу на ручки диференційовних однозв’язних п’ятивимірних многовидів і вказана кількість ручок кожного індексу для такого розкладу. Institute of Mathematics, NAS of Ukraine 1994-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5580 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 12 (1994); 1714–1720 Український математичний журнал; Том 46 № 12 (1994); 1714–1720 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5580/7846 https://umj.imath.kiev.ua/index.php/umj/article/view/5580/7847 Copyright (c) 1994 Prishlyak O. O. |
| spellingShingle | Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. Minimal handle decomposition of smooth simply connected five-dimensional manifolds |
| title | Minimal handle decomposition of smooth simply connected five-dimensional manifolds |
| title_alt | Минимальное разложение на ручки гладких односвязных пятимерных многообрази |
| title_full | Minimal handle decomposition of smooth simply connected five-dimensional manifolds |
| title_fullStr | Minimal handle decomposition of smooth simply connected five-dimensional manifolds |
| title_full_unstemmed | Minimal handle decomposition of smooth simply connected five-dimensional manifolds |
| title_short | Minimal handle decomposition of smooth simply connected five-dimensional manifolds |
| title_sort | minimal handle decomposition of smooth simply connected five-dimensional manifolds |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5580 |
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