Handle decompositions of simply connected five-manifolds. III
We prove the existence of exact handle decomposition of a simply connected smooth or piecewise linear (PL) five-manifold with a standard simply connected boundary of signature zero, the triviality of a five-dimensional h- cobordism with ends of such type, and the uniqueness up to diffeomorphism (PL-...
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| Дата: | 1994 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5685 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511912426471424 |
|---|---|
| author | Shkol’nikov, Yu. A. Школьников, Ю. А. |
| author_facet | Shkol’nikov, Yu. A. Школьников, Ю. А. |
| author_sort | Shkol’nikov, Yu. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:43Z |
| description | We prove the existence of exact handle decomposition of a simply connected smooth or piecewise linear (PL) five-manifold with a standard simply connected boundary of signature zero, the triviality of a five-dimensional h- cobordism with ends of such type, and the uniqueness up to diffeomorphism (PL-isomorphism) of a smooth (PL)h -cobordism between a given simply connected four-manifold and the corresponding standard manifold. |
| first_indexed | 2026-03-24T03:20:26Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5685 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:20:26Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/32/a14c0c7b8b6066b8e15d340af12ea432.pdf |
| spelling | umjimathkievua-article-56852020-03-19T09:15:43Z Handle decompositions of simply connected five-manifolds. III Handle decompositions of simply-connected five-manifolds. III Shkol’nikov, Yu. A. Школьников, Ю. А. We prove the existence of exact handle decomposition of a simply connected smooth or piecewise linear (PL) five-manifold with a standard simply connected boundary of signature zero, the triviality of a five-dimensional h- cobordism with ends of such type, and the uniqueness up to diffeomorphism (PL-isomorphism) of a smooth (PL)h -cobordism between a given simply connected four-manifold and the corresponding standard manifold. Доведено існування точного розкладу на ручки однозв'язного гладкого або кусково-лінійного п'ятивимірного многовида із стандартною однозв'язною границею сигнатури 0, тривіальність п'ятивимірного $h$-кобордизму з кінцями такого типу, а також єдиність гладкого (або кусково-лінійного $h$-кобордизму між заданим однозв'язним чотиривимірним многовидом і відповідним стандаргним многовидом з точністю до диффеоморфізму (кусково-лінійного ізоморфіму). Institute of Mathematics, NAS of Ukraine 1994-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5685 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 7 (1994); 935–940 Український математичний журнал; Том 46 № 7 (1994); 935–940 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5685/8055 https://umj.imath.kiev.ua/index.php/umj/article/view/5685/8056 Copyright (c) 1994 Shkol’nikov Yu. A. |
| spellingShingle | Shkol’nikov, Yu. A. Школьников, Ю. А. Handle decompositions of simply connected five-manifolds. III |
| title | Handle decompositions of simply connected five-manifolds. III |
| title_alt | Handle decompositions of simply-connected five-manifolds. III |
| title_full | Handle decompositions of simply connected five-manifolds. III |
| title_fullStr | Handle decompositions of simply connected five-manifolds. III |
| title_full_unstemmed | Handle decompositions of simply connected five-manifolds. III |
| title_short | Handle decompositions of simply connected five-manifolds. III |
| title_sort | handle decompositions of simply connected five-manifolds. iii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5685 |
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