november 2019 Topological groups have representable actions
Francesca Cagliari, Maria Manuel Clementino
Bull. Belg. Math. Soc. Simon Stevin 26(4): 519-526 (november 2019). DOI: 10.36045/bbms/1576206354

Abstract

This paper shows that the group of auto-homeomorphisms of a topological group can be endowed with a topology so that the resulting topological group plays, for topological groups, the role of the group of automorphisms of a group: it represents the internal actions on the given topological group.

Citation

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Francesca Cagliari. Maria Manuel Clementino. "Topological groups have representable actions." Bull. Belg. Math. Soc. Simon Stevin 26 (4) 519 - 526, november 2019. https://doi.org/10.36045/bbms/1576206354

Information

Published: november 2019
First available in Project Euclid: 13 December 2019

zbMATH: 07167741
MathSciNet: MR4042398
Digital Object Identifier: 10.36045/bbms/1576206354

Subjects:
Primary: 18B30 , 22A05 , 54H11 , 57S05

Keywords: group of homeomorphisms , representability of actions , split extension classifier , Stone-Čech compactification , Topological Group

Rights: Copyright © 2019 The Belgian Mathematical Society

Vol.26 • No. 4 • november 2019
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