The Solution of Hilbert's Fifth Problem for Transitive Groupoids
Differential Geometry
2018-07-18 v2
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.
Cite
@article{arxiv.1805.03066,
title = {The Solution of Hilbert's Fifth Problem for Transitive Groupoids},
author = {Paweł Raźny},
journal= {arXiv preprint arXiv:1805.03066},
year = {2018}
}
Comments
The preliminary sections partially coincide with the ones of our previous article arXiv:1710.11440