Fucai Lin, Shou Lin
Published 2011-06-20Version 1
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.
On rectifiable spaces and paratopological groups
Stationary Sets in Topological and Paratopological Groups
Suitable sets for paratopological groups
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