About remainders in compactifications of paratopological groups
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\"of and meager or Baire. Moreover, we give a negative answer for a question posed by D. Basile and A. Bella in B1, and some questions about remainders of paratopological groups are posed in the paper.
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