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Stationary Sets in Topological and Paratopological Groups (1209.4796v1)
Published 21 Sep 2012 in math.GN
Abstract: 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.
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