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Mathematics
Group Theory
A Class of Groups in Which All Unconditionally Closed Sets are Algebraic
Ol'ga V. Sipacheva
Abstract
It 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.
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Submitted on 13 Oct 2006 (v1), last revised 7 Apr 2007 (this version, v2)
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arXiv.org
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