Topological AE(0)-groups

• Autorzy: Alex Chigogidze
• Języki publikacji: EN

Abstrakty

EN

We investigate topological AE(0)-groups, a class which contains the class of Polish groups as well as the class of all locally compact groups. We establish the existence of a universal AE(0)-group of a given weight as well as the existence of a universal action of an AE(0)-group of a given weight on an AE(0)-space of the same weight. A complete characterization of closed subgroups of powers of the symmetric group $S_{∞}$ is obtained. It is also shown that every AE(0)-group is Baire isomorphic to a product of Polish groups. These results are obtained by using the spectral descriptions of AE(0)-groups which are presented in Section 3.

Kategorie tematyczne

• 22A05: Structure of general topological groups
• 22F05: General theory of group and pseudogroup actions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 167
• Numer: 1
• Strony: 79-96

Daty

wydano

2001

Twórcy

autor

Alex Chigogidze

• Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatoon, SK, S7N 5E6, Canada

Identyfikatory

DOI

10.4064/fm167-1-6