Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660677 | Topology and its Applications | 2006 | 6 Pages |
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