Handle decompositions of simply-connected five-manifolds. III
We prove the existence of the exact handle decomposition of a simply-connected smooth or PL 5-manifold with a standard simply-connected boundary of signature 0, the triviality of a 5-dimensional h-cobordism with ends of such type and the uniqueness, up to diffeomorphism (PL-isomorphism), of a smooth...
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| Published in: | Український математичний журнал |
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| Date: | 1994 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
1994
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155978 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Handle decompositions of simply-connected five-manifolds. III / Yu.A. Shkol`nikov // Український математичний журнал. — 1994. — Т. 46, № 7. — С. 935–940. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862703309582761984 |
|---|---|
| author | Shkol`nikov, Yu.A. |
| author_facet | Shkol`nikov, Yu.A. |
| citation_txt | Handle decompositions of simply-connected five-manifolds. III / Yu.A. Shkol`nikov // Український математичний журнал. — 1994. — Т. 46, № 7. — С. 935–940. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний журнал |
| description | We prove the existence of the exact handle decomposition of a simply-connected smooth or PL 5-manifold with a standard simply-connected boundary of signature 0, the triviality of a 5-dimensional h-cobordism with ends of such type and the uniqueness, up to diffeomorphism (PL-isomorphism), of a smooth (or PL) h-cobordism between the given simply-connected 4-manifold and the corresponding standard manifold.
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| first_indexed | 2025-12-07T16:47:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155978 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-3190 |
| language | English |
| last_indexed | 2025-12-07T16:47:19Z |
| publishDate | 1994 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Shkol`nikov, Yu.A. 2019-06-17T16:04:56Z 2019-06-17T16:04:56Z 1994 Handle decompositions of simply-connected five-manifolds. III / Yu.A. Shkol`nikov // Український математичний журнал. — 1994. — Т. 46, № 7. — С. 935–940. — Бібліогр.: 10 назв. — англ. 1027-3190 https://nasplib.isofts.kiev.ua/handle/123456789/155978 515.162 We prove the existence of the exact handle decomposition of a simply-connected smooth or PL 5-manifold with a standard simply-connected boundary of signature 0, the triviality of a 5-dimensional h-cobordism with ends of such type and the uniqueness, up to diffeomorphism (PL-isomorphism), of a smooth (or PL) h-cobordism between the given simply-connected 4-manifold and the corresponding standard manifold. Supported in part by International Science Foundation, Grant No. U6F000. en Інститут математики НАН України Український математичний журнал Статті Handle decompositions of simply-connected five-manifolds. III Article published earlier |
| spellingShingle | Handle decompositions of simply-connected five-manifolds. III Shkol`nikov, Yu.A. Статті |
| title | 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 |
| topic | Статті |
| topic_facet | Статті |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155978 |
| work_keys_str_mv | AT shkolnikovyua handledecompositionsofsimplyconnectedfivemanifoldsiii |