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

Symmetry Integrability and Geometry-Methods and Applications

article

Paweł Raźny¹ 

[1] Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University in Cracow

关键词: Lie groupoids;    topological groupoids;   

DOI  :  10.3842/SIGMA.2017.098

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown