Stationary Sets in Topological and Paratopological Groups
General Topology
2012-09-24 v1
Abstract
We show that if a topological or paratopological group contains a stationary subset of some regular uncountable cardinal, then contains a subspace which is not collectionwise normal. This statement implies that if a monotonically normal space (in particular, any generalized ordered space) is a paratopological group then the space is hereditarily paracompact.
Keywords
Cite
@article{arxiv.1209.4796,
title = {Stationary Sets in Topological and Paratopological Groups},
author = {Raushan Buzyakova and Cetin Vural},
journal= {arXiv preprint arXiv:1209.4796},
year = {2012}
}