Characterizing meager paratopological groups

Taras Banak, Igor Guran, Alex Ravsky


We prove that a Hausdorff paratopological group G is meager if andonly if there are a nowhere dense subset A G and a countable setC G such that CA = G = AC.


Paratopological group; Baire space, Shift-Baire group; Shift-meager group

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