This article is cited in 1 paper

Topological groups in which each nowhere dense subset is closed

E. G. Zelenyuk

Lutsk Industrial Intitute

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.

UDC: 512.546

Received: 18.11.1996

DOI: 10.4213/mzm1387

 English version: Mathematical Notes, 1998, 64:2, 177–180

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