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Decomposability of topological groups

We prove that every countable Abelian group with finitely many second-order elements can be decomposed into countably many subsets that are dense in any nondiscrete group topology.

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Bibliographic Details
Date:	1999
Main Authors:	Zelenyuk, E. G., Зеленюк, Е. Г.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1999
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4581
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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