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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nasplib_isofts_kiev_ua-123456789-155978 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Handle decompositions of simply-connected five-manifolds. III |
| spellingShingle |
Handle decompositions of simply-connected five-manifolds. III Shkol`nikov, Yu.A. Статті |
| title_short |
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_sort |
handle decompositions of simply-connected five-manifolds. iii |
| author |
Shkol`nikov, Yu.A. |
| author_facet |
Shkol`nikov, Yu.A. |
| topic |
Статті |
| topic_facet |
Статті |
| publishDate |
1994 |
| language |
English |
| container_title |
Український математичний журнал |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1027-3190 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155978 |
| 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. |
| work_keys_str_mv |
AT shkolnikovyua handledecompositionsofsimplyconnectedfivemanifoldsiii |
| first_indexed |
2025-12-07T16:47:19Z |
| last_indexed |
2025-12-07T16:47:19Z |
| _version_ |
1850868802248507392 |