Topological AE(0)-groups
General Topology
2007-05-23 v1
Abstract
We investigate topological AE(0) -groups class of which contains the class of Polish groups as well as the class of all locally compact groups. We establish the existence of an universal AE(0) -group of a given weight as well as the existence of an universal action of AE(0) -group of a given weight on a AE(0) -space of the same weight. A complete characterization of closed subgroups of powers of the symmetric group is obtained. It is also shown that every AE (0)-group is Baire isomorphic to the product of Polish groups. These results are obtained by using the spectral descriptions of AE(0)-groups which are presented in Section 3.
Keywords
Cite
@article{arxiv.math/0001017,
title = {Topological AE(0)-groups},
author = {Alex Chigogidze},
journal= {arXiv preprint arXiv:math/0001017},
year = {2007}
}