Topological AE(0)-groups

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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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General Topology, 22A05, 22F05

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http://salesiana.dossiersoluciones.com/handle/123456789/58481

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001017
 http://arxiv.org/abs/math/0001017

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arXiv