The Solution of Hilbert's Fifth Problem for Transitive Groupoids

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Raźny, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209780
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Solution of Hilbert's Fifth Problem for Transitive Groupoids / P. Raźny // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 12 назв. — англ.

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 Hilbert's fifth problem to this context. Most notably, we present a "s...