Characterizing meager paratopological groups

Taras Banakh

Poland

Uniwersytet Humanistyczno-Przyrodniczy Jana Kochanowskiego w Kielcach

Ivan Franko National University of Lviv, Ukraine

Igor Guran

Ukraine

Ivan Franko National University of Lviv

Alex Ravsky

Ukraine

National Academy of Sciences

Institute of Applied Problems of Mechanics and Mathematics

Submitted: 2013-09-16

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Accepted: 2013-09-16

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DOI: https://doi.org/10.4995/agt.2011.1698
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Keywords:

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

Supporting agencies:

This research was not funded

Abstract:

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.
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References:

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