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.
Lin, F., Lin, S. (2014). About remainders in compactifications of paratopological groups. Bulletin of the Iranian Mathematical Society, 40(3), 713-719.
MLA
Fucai Lin; Shou Lin. "About remainders in compactifications of paratopological groups". Bulletin of the Iranian Mathematical Society, 40, 3, 2014, 713-719.
HARVARD
Lin, F., Lin, S. (2014). 'About remainders in compactifications of paratopological groups', Bulletin of the Iranian Mathematical Society, 40(3), pp. 713-719.
VANCOUVER
Lin, F., Lin, S. About remainders in compactifications of paratopological groups. Bulletin of the Iranian Mathematical Society, 2014; 40(3): 713-719.
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