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We show that if a topological or paratopological group $G$ contains astationary subset of some regular uncountable cardinal, then $G$ contains asubspace which is not collectionwise normal. This statement implies that if amonotonically normal space (in particular, any generalized ordered space) is aparatopological group then the space is hereditarily paracompact.

Stationary Sets in Topological and Paratopological Groups