2012
DOI: 10.48550/arxiv.1209.4796
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Stationary Sets in Topological and Paratopological Groups

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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