Characterizing meager paratopological groups

Authors

  • Taras Banakh Uniwersytet Humanistyczno-Przyrodniczy Jana Kochanowskiego w Kielcach
  • Igor Guran Ivan Franko National University of Lviv
  • Alex Ravsky National Academy of Sciences

DOI:

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

Keywords:

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

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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Author Biographies

Taras Banakh, Uniwersytet Humanistyczno-Przyrodniczy Jana Kochanowskiego w Kielcach

Ivan Franko National University of Lviv, Ukraine

Alex Ravsky, National Academy of Sciences

Institute of Applied Problems of Mechanics and Mathematics

References

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How to Cite

[1]
T. Banakh, I. Guran, and A. Ravsky, “Characterizing meager paratopological groups”, Appl. Gen. Topol., vol. 12, no. 1, pp. 27–33, Apr. 2011.

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