About remainders in compactifications of paratopological groups

Details About remainders in compactifications of paratopological groups About remainders in compactifications of paratopological groups

2011-06-20

arxiv.org/abs/1106.3836v1

Mathematics

General Topology

5 pages

Scientific paper

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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