Translator Disclaimer
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

Download Citation

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

JOURNAL ARTICLE
8 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.26 • No. 4 • november 2019
Back to Top