Fucai Lin

[ 1 ] - About remainders in compactifications of paratopological groups

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. ‎Caroli...