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This article is cited in 3 scientific papers (total in 3 papers)
On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids
Paweł Raźny Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University in Cracow, Poland
Abstract:
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.
Keywords:
Lie groupoids; topological groupoids.
Received: December 2, 2017; in final form December 21, 2017; Published online December 31, 2017
Citation:
Paweł Raźny, “On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids”, SIGMA, 13 (2017), 098, 10 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1298 https://www.mathnet.ru/eng/sigma/v13/p98
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Abstract page: | 100 | Full-text PDF : | 25 | References: | 24 |
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