Three examples of pseudocompact quasitopological groups☆
Review articleOpen access
2006/12/01 Full-length article DOI: 10.1016/j.topol.2006.03.023
Journal: Topology and its Applications
AbstractA 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.
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