On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids
Differential Geometry
2018-01-03 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.
Keywords
Cite
@article{arxiv.1710.11440,
title = {On the Generalization of Hilbert's Fifth Problem to Transitive Groupoids},
author = {Paweł Raźny},
journal= {arXiv preprint arXiv:1710.11440},
year = {2018}
}