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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2017 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149265 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862546775697522688 |
|---|---|
| author | Raźny, P. |
| author_facet | Raźny, P. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-25T12:52:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149265 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T12:52:27Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Raźny, P. 2019-02-19T19:31:54Z 2019-02-19T19:31:54Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/149265 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids Article published earlier |
| spellingShingle | On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids Raźny, P. |
| title | 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_short | On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids |
| title_sort | on the generalization of hilbert's fifth problem to transitive groupoids |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149265 |
| work_keys_str_mv | AT raznyp onthegeneralizationofhilbertsfifthproblemtotransitivegroupoids |