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math.GN2019★ 3 cited
Some generalized metric properties on hyperspaces with the Vietoris topology
Fucai Lin, Rongxin Shen, Chuan Liu
We study the heredity of the classes of generalized metric spaces (for example, spaces with a -hereditarily closure-preserving -network, spaces with a point-countable base, s…
math.GN2019
The -connected property and -topological groups
Yongxing Wu, Fucai Lin
In this paper, we discuss some properties of of -hull, -kernel and -connectedness, and extend some results of \cite{life34}. In particular, we prove that the -connected…