# Topological AE(0)-groups

Fundamenta Mathematicae (2001)

- Volume: 167, Issue: 1, page 79-96
- ISSN: 0016-2736

## Access Full Article

top## Abstract

top## How to cite

topAlex Chigogidze. "Topological AE(0)-groups." Fundamenta Mathematicae 167.1 (2001): 79-96. <http://eudml.org/doc/282368>.

@article{AlexChigogidze2001,

abstract = {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.},

author = {Alex Chigogidze},

journal = {Fundamenta Mathematicae},

keywords = {topological -group; Polish group; inverse spectrum; AE(0)-groups; inverse spectra},

language = {eng},

number = {1},

pages = {79-96},

title = {Topological AE(0)-groups},

url = {http://eudml.org/doc/282368},

volume = {167},

year = {2001},

}

TY - JOUR

AU - Alex Chigogidze

TI - Topological AE(0)-groups

JO - Fundamenta Mathematicae

PY - 2001

VL - 167

IS - 1

SP - 79

EP - 96

AB - 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.

LA - eng

KW - topological -group; Polish group; inverse spectrum; AE(0)-groups; inverse spectra

UR - http://eudml.org/doc/282368

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.