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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (72) -n.3 (73), 2013/

Examples of quasitopological groups

Authors: Alexander V. Arhangel'skii, Mitrofan M. Choban

Abstract

In this paper we construct several examples of completely regular submetrizable quasitopological groups with slightly different combinations of properties, in particular, a countable quasitopological group $G$ with countable $\pi $-weight, countable tightness, countable $\delta $-character, but not first-countable, and a countable quasitopological group $P$ with countable $\pi $-weight, countable tightness, but of uncountable $\delta $-character.

Alexander V. Arhangel’skii
Moscow, Russian Federation
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Mitrofan M. Choban
Department of Mathematics
Tiraspol State University
MD-2069, Chi?sin?au
Moldova
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