Characterizing meager paratopological groups

Taras Banakh, 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

Subject classification

22A05; 22A30

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doi: 10.2478/taa-2014-0003

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