The Solution of Hilbert's Fifth Problem for Transitive Groupoids
In the following paper, we investigate the question: when is a transitive topological groupoid continuously isomorphic to a Lie groupoid? We present many results on the matter, which may be considered generalizations of Hilbert's fifth problem to this context. Most notably, we present a "s...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209780 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The Solution of Hilbert's Fifth Problem for Transitive Groupoids / P. Raźny // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. |
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Raźny, P. 2025-11-26T12:19:12Z 2018 The Solution of Hilbert's Fifth Problem for Transitive Groupoids / P. Raźny // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 22A22 arXiv: 1805.03066 https://nasplib.isofts.kiev.ua/handle/123456789/209780 https://doi.org/10.3842/SIGMA.2018.070 In the following paper, we investigate the question: when is a transitive topological groupoid continuously isomorphic to a Lie groupoid? We present many results on the matter, which may be considered generalizations of Hilbert's fifth problem to this context. Most notably, we present a "solution" to the problem for proper transitive groupoids and transitive groupoids with compact source fibers. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Solution of Hilbert's Fifth Problem for Transitive Groupoids Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Solution of Hilbert's Fifth Problem for Transitive Groupoids |
| spellingShingle |
The Solution of Hilbert's Fifth Problem for Transitive Groupoids Raźny, P. |
| title_short |
The Solution of Hilbert's Fifth Problem for Transitive Groupoids |
| title_full |
The Solution of Hilbert's Fifth Problem for Transitive Groupoids |
| title_fullStr |
The Solution of Hilbert's Fifth Problem for Transitive Groupoids |
| title_full_unstemmed |
The Solution of Hilbert's Fifth Problem for Transitive Groupoids |
| title_sort |
solution of hilbert's fifth problem for transitive groupoids |
| author |
Raźny, P. |
| author_facet |
Raźny, P. |
| publishDate |
2018 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
In the following paper, we investigate the question: when is a transitive topological groupoid continuously isomorphic to a Lie groupoid? We present many results on the matter, which may be considered generalizations of Hilbert's fifth problem to this context. Most notably, we present a "solution" to the problem for proper transitive groupoids and transitive groupoids with compact source fibers.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/209780 |
| citation_txt |
The Solution of Hilbert's Fifth Problem for Transitive Groupoids / P. Raźny // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ. |
| work_keys_str_mv |
AT raznyp thesolutionofhilbertsfifthproblemfortransitivegroupoids AT raznyp solutionofhilbertsfifthproblemfortransitivegroupoids |
| first_indexed |
2025-12-03T16:22:59Z |
| last_indexed |
2025-12-03T16:22:59Z |
| _version_ |
1850885993254617088 |