Isomorphisms of combinatorial block decompositions of three-dimensional manifolds
For three-dimensional manifolds with the structure of a combinatorial block complex, we construct an invariant that allows one to verify the existence of isomorphisms, between these manifolds. For complexes of small dimensionality, we solve the problem on the possibility of extending the isomorphism...
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4642 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510792985608192 |
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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 | 2020-03-18T21:10:18Z |
| description | For three-dimensional manifolds with the structure of a combinatorial block complex, we construct an invariant that allows one to verify the existence of isomorphisms, between these manifolds. For complexes of small dimensionality, we solve the problem on the possibility of extending the isomorphisms of subcomplexes to those of complexes. |
| first_indexed | 2026-03-24T03:02:38Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4642 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:38Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/46/c398da19031c1357b296c542746fa446.pdf |
| spelling | umjimathkievua-article-46422020-03-18T21:10:18Z Isomorphisms of combinatorial block decompositions of three-dimensional manifolds Изоморфизмы комбинаторных клеточных разбиений трехмерных многообразий Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. For three-dimensional manifolds with the structure of a combinatorial block complex, we construct an invariant that allows one to verify the existence of isomorphisms, between these manifolds. For complexes of small dimensionality, we solve the problem on the possibility of extending the isomorphisms of subcomplexes to those of complexes. Для тривимірних миоговидів зі структурою комбінаторного кліткового комплексу побудовано інваріант, який дозволяє перевіряти існування ізоморфізмів між ними. Для комплексів малої вимірності розв'язано задачу про можливість продовження ізоморфізмів підкомплексів до ізоморфізмів комплексів. Institute of Mathematics, NAS of Ukraine 1999-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4642 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 4 (1999); 568–571 Український математичний журнал; Том 51 № 4 (1999); 568–571 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4642/5987 https://umj.imath.kiev.ua/index.php/umj/article/view/4642/5988 Copyright (c) 1999 Prishlyak O. O. |
| spellingShingle | Prishlyak, O. O. Пришляк, А. О. Пришляк, А. О. Isomorphisms of combinatorial block decompositions of three-dimensional manifolds |
| title | Isomorphisms of combinatorial block decompositions of three-dimensional manifolds |
| title_alt | Изоморфизмы комбинаторных клеточных разбиений трехмерных многообразий |
| title_full | Isomorphisms of combinatorial block decompositions of three-dimensional manifolds |
| title_fullStr | Isomorphisms of combinatorial block decompositions of three-dimensional manifolds |
| title_full_unstemmed | Isomorphisms of combinatorial block decompositions of three-dimensional manifolds |
| title_short | Isomorphisms of combinatorial block decompositions of three-dimensional manifolds |
| title_sort | isomorphisms of combinatorial block decompositions of three-dimensional manifolds |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4642 |
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