Topological AE(0)-groups

Alex Chigogidze

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arXiv · math/0001017

Topological AE(0)-groups

Alex Chigogidze

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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.

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BibTeX RIS

Alex Chigogidze. 2000-01-04. Topological AE(0)-groups. https://arxiv.org/abs/math/0001017

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