3 citations · 5 across the 18 of their papers we have counts for
18 papers
Suitable sets for topological groups revisited
Fucai Lin, Jiamin He, Jiajia Yang +1
A discrete subset of a topological group is called a {\it suitable set} for if is closed in and the subgroup generated by is dense in , where $…
The characterizations of hyperspaces and free topological groups with an -base
Fucai Lin, Chuan Liu
A topological space is said to be have an {\it -base} if for each point there exists a neighborhood base such that $U_β[x]\subset U_α[x…
The quasi-metrizability of hyperspaces
Chuan Liu, Fucai Lin
For a space , let , and be the set of all nonempty closed subsets of which are endowed with Vietoris topology, loc…
Dense-separable groups and its applications in -independence
Fucai Lin, Qiyun Wu, Chuan Liu
A topological space is called {\it dense-separable} if each dense subset of its is separable. Therefore, each dense-separable space is separable. We establish some basic properties…
Hyperspaces with a countable character of closed subsets
Chuan Liu, Fucai Lin
For a regular space , the hyperspace (resp., ) is the space of all nonempty closed subsets of with the Fell topology (resp., Vietoris topolo…
A note on hyperspaces by closed sets with Vietoris topology
Chuan Liu, Fucai Lin
For a topological space , let be the set of all non-empty closed subset of , and denote the set with the Vietoris topology by . In this p…