Nonequality of Dimensions for Metric Groups

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dc.creatorSipacheva, Ol'ga V.
dc.date2006-06-07
dc.date.accessioned2026-07-07T07:17:00Z
dc.date.available2026-07-07T07:17:00Z
dc.descriptionAn embeddability criterion for zero-dimensional metrizable topological spaces in zero-dimensional metrizable topological groups is given. A space which can be embedded as a closed subspace in a zero-dimensional metrizable group but is not strongly zero-dimensional is constructed; thereby, an example of a metrizable group with noncoinciding dimensions ind and dim is obtained. It is proved that one of Kulesza's zero-dimensional metrizable spaces cannot be embedded in a metrizable zero-dimensional group.
dc.identifierhttps://arxiv.org/abs/math/0606146
dc.identifierhttp://arxiv.org/abs/math/0606146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113791
dc.subjectGeneral Topology
dc.subjectGroup Theory
dc.subject54G20 (Primary); 54H11; 54F45; 54E35; 54C25; 22A05
dc.titleNonequality of Dimensions for Metric Groups
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