About remainders in compactifications of paratopological groups

Document Type: Research Paper

Authors

1 Minnan Normal University

2 Ningde Teachers' College

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. Furthermore, ‎we give a negative answer to a question posed in [D‎. ‎Basile and A‎. ‎Bella‎, ‎About remainders in compactifications of homogeneous spaces‎, ‎Comment‎. ‎Math‎. ‎Univ‎. ‎Carolin. ‎50 (2009), no. 4, 607--613‎].‎‎‎‎‎‎‎‎‎‎‎ ‎Some questions about‎ ‎remainders in compactifications of paratopological groups are posed‎.

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