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On the Generalization of Hilbert's Fifth Problem to 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 the Hilbert's fifth problem to this context. Most notably we present a '...
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Інститут математики НАН України
2017
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/149265 |
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irk-123456789-1492652019-02-20T01:23:39Z On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids Raźny, P. 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 the 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. 2017 Article On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids / P. Raźny // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 12 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 22A22 DOI:10.3842/SIGMA.2017.098 http://dspace.nbuv.gov.ua/handle/123456789/149265 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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 the 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. |
| format |
Article |
| author |
Raźny, P. |
| spellingShingle |
Raźny, P. On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Raźny, P. |
| author_sort |
Raźny, P. |
| title |
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids |
| title_short |
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids |
| title_full |
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids |
| title_fullStr |
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids |
| title_full_unstemmed |
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids |
| title_sort |
on the generalization of hilbert's fifth problem to transitive groupoids |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149265 |
| citation_txt |
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids / P. Raźny // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 12 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT raznyp onthegeneralizationofhilbertsfifthproblemtotransitivegroupoids |
| first_indexed |
2023-05-20T17:31:43Z |
| last_indexed |
2023-05-20T17:31:43Z |
| _version_ |
1796153493935882240 |