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Matematicheskie Zametki, 1998, Volume 64, Issue 2, Pages 207–211
DOI: https://doi.org/10.4213/mzm1387 (Mi mzm1387) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Topological groups in which each nowhere dense subset is closed

E. G. Zelenyuk

Lutsk Industrial Intitute
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DOI: https://doi.org/10.4213/mzm1387
Abstract: Assuming the validity of the combinatorial principle $p=\mathfrak C$, which follows from Martin's axiom, it is proved that an arbitrary nondiscrete metrizable group topology on an Abelian group can be strengthened to a nondiscrete group topology in which each nowhere dense subset is closed.
Received: 18.11.1996
English version:
Mathematical Notes, 1998, Volume 64, Issue 2, Pages 177–180
DOI: https://doi.org/10.1007/BF02310302
Bibliographic databases:
UDC: 512.546
Language: Russian
Citation: E. G. Zelenyuk, “Topological groups in which each nowhere dense subset is closed”, Mat. Zametki, 64:2 (1998), 207–211; Math. Notes, 64:2 (1998), 177–180
Citation in format AMSBIB
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\pages 207--211
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\jour Math. Notes
\yr 1998
\vol 64
\issue 2
\pages 177--180
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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