Stationary Sets in Topological and Paratopological Groups

Raushan Buzyakova; Cetin Vural

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arXiv · 1209.4796

Stationary Sets in Topological and Paratopological Groups

Raushan Buzyakova·Cetin Vural

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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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Raushan Buzyakova, Cetin Vural. 2012-09-21. Stationary Sets in Topological and Paratopological Groups. https://arxiv.org/abs/1209.4796

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