2012/09/21 by Raushan Buzyakova, Buzyakova, Raushan, Cetin Vural +1
Mathematics · #22A05 #54D20 #54H11 #FOS: Mathematics #General Topology (math.GN) #math.GN #msc:22A05 #msc:54D20 #msc:54H11
paper · pdf · doi:10.48550/arxiv.1209.4796
arxiv created 2012/09/21 · arxiv updated 2012/09/24
We show that if a topological or paratopological group G contains a stationary subset of some regular uncountable cardinal, then G 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.