Irresolvable topologies on groups
Abstract
We prove that there exist ZFC models in which every nondiscrete topological Abelian group can be decomposed into countably many dense subsets. This statement is an answer to the question raised by Comfort and van Mill. We also prove that every submaximal left-topological Abelian group is σ-discrete.Downloads
Published
25.12.1998
Issue
Section
Research articles
How to Cite
Protasov, I. V. “Irresolvable Topologies on Groups”. Ukrains’kyi Matematychnyi Zhurnal, vol. 50, no. 12, Dec. 1998, pp. 1646–1655, https://umj.imath.kiev.ua/index.php/umj/article/view/4784.