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math.GN2022
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…
math.GN2022
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…