A Class of Groups in Which All Unconditionally Closed Sets are Algebraic

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dc.creatorSipacheva, Ol'ga V.
dc.date2006-10-13
dc.date2007-04-07
dc.date.accessioned2026-07-07T07:55:28Z
dc.date.available2026-07-07T07:55:28Z
dc.descriptionIt is proved that, in certain subgroups of direct products of countable groups, the property of being an unconditionally closed set coincides with that of being an algebraic set. In particular, these properties coincide in all Abelian groups.
dc.descriptionVersion 2: A mistake noticed by D. Dikranjan and D. Shakhmatov is corrected. The main theorem is valid only for subgroups $H$ of a direct product of countable groups whose intersections with any countable subproducts are supernormal in $H$. In the proof, two words are changed ("normal" replaced by "supernormal"). Two corollaries are added
dc.identifierhttps://arxiv.org/abs/math/0610430
dc.identifierhttp://arxiv.org/abs/math/0610430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126979
dc.subjectGroup Theory
dc.subjectGeneral Topology
dc.subject22A05; Secondary 54H11
dc.titleA Class of Groups in Which All Unconditionally Closed Sets are Algebraic
dc.typetext

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