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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