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

Ol'ga V. Sipacheva

math.GRarXiv:math/0610430

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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