Topological AE(0)-Groups

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
A. "Alex" Chigogidze, Professor and Department Chair (Creator)
The University of North Carolina at Greensboro (UNCG )
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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 S1 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.

Additional Information

arXiv:math/0001017v1 [math.GN] 4 Jan 2000
Language: English
Date: 2000
Topological AE(0)-group, Polish group, Inverse spectrum

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