Characterizing meager paratopological groups

Taras Banak, Igor Guran, Alex Ravsky
2013 Applied General Topology  
We prove that a Hausdorff paratopological group G is meager if and only if there are a nowhere dense subset A ⊂ G and a countable set C ⊂ G such that CA = G = AC. 2010 MSC: 22A05, 22A30.
doi:10.4995/agt.2011.1698 fatcat:rx32jqmkrrdyhggwd7gzln4w5e