Article ID Journal Published Year Pages File Type
4660677 Topology and its Applications 2006 6 Pages PDF
Abstract

A quasitopological group is an abstract group with topology in which the inversion and all translations are continuous. We show that a pseudocompact quasitopological group of countable cellularity need not be a Moscow space. Then we present an example of two pseudocompact quasitopological groups whose product fails to be pseudocompact, and of a pseudocompact quasitopological group that contains an infinite discrete subgroup.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology