×

Topological groups have representable actions. (English) Zbl 1432.54040

Summary: 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.

MSC:

54H11 Topological groups (topological aspects)
57S05 Topological properties of groups of homeomorphisms or diffeomorphisms
22A05 Structure of general topological groups
PDFBibTeX XMLCite
Full Text: DOI Euclid