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arXiv · 1106.3836

About remainders in compactifications of paratopological groups

Fucai Lin·Shou Lin
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Abstract

In this paper, we prove a dichotomy theorem for remainders in compactifications of paratopological groups: every remainder of a paratopological group $G$ is either Lindel\"{o}f and meager or Baire. Moreover, we give a negative answer for a question posed by D. Basile and A. Bella in \cite{B1}, and some questions about remainders of paratopological groups are posed in the paper.

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Fucai Lin, Shou Lin. 2011-06-20. About remainders in compactifications of paratopological groups. https://arxiv.org/abs/1106.3836

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