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arXiv · 1710.11440

On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids

Paweł Raźny
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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.

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Paweł Raźny. 2017-10-31. On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids. https://doi.org/10.3842/sigma.2017.098

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