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Title: Topological groups have representable actions
Authors: Cagliari, Francesca
Clementino, Maria Manuel 
Keywords: Topological group; Representability of actions; Split extension classifier; Group of homeomorphisms; Stone-Čech compactification
Issue Date: 2019
Publisher: Belgium Mathematical Society - Project Euclides
Project: CMUC-UID/MAT/00324/2013 
Serial title, monograph or event: Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume: 26
Issue: 4
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.
DOI: 10.36045/bbms/1576206354
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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