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math.GM2023
A note on complementary knowledge spaces
Fucai Lin
The pair is a {\it knowledge space} if and is closed under union, where is a nonempty set and is a family…
math.GN2023
The characterizations of dense-pseudocompact and dense-connected spaces
Fucai Lin, Qiyun Wu
Assume that is a topological property of a space , then we say that is {\it dense-} if each dense subset of has the property . In…
math.GN2023
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…