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Irresolvable topologies on groups

We prove that there exist ZFC models in which every nondiscrete topological Abelian group can be decomposed into countably many dense subsets. This statement is an answer to the question raised by Comfort and van Mill. We also prove that every submaximal left-topological Abelian group is σ-discrete....

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Bibliographic Details
Date:	1998
Main Authors:	Protasov, I. V., Протасов, И. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4784
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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