
SIGMA 14 (2018), 070, 11 pages arXiv:1805.03066
https://doi.org/10.3842/SIGMA.2018.070
The Solution of Hilbert's Fifth Problem for Transitive Groupoids
Paweł Raźny
Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University in Cracow, Poland
Received May 11, 2018, in final form July 10, 2018; Published online July 17, 2018
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.
Key words:
Lie groupoids; topological groupoids.
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