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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2018 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2018
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| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862544806392102912 |
|---|---|
| author | Raźny, P. |
| author_facet | Raźny, P. |
| 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. |
| 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 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 | 2025-12-03T16:22:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209780 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-03T16:22:59Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The Solution of Hilbert's Fifth Problem for Transitive Groupoids Raźny, P. |
| title | 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_short | The Solution of Hilbert's Fifth Problem for Transitive Groupoids |
| title_sort | solution of hilbert's fifth problem for transitive groupoids |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209780 |
| work_keys_str_mv | AT raznyp thesolutionofhilbertsfifthproblemfortransitivegroupoids AT raznyp solutionofhilbertsfifthproblemfortransitivegroupoids |