Fucai Lin

activity

20112023

most citedOn rectifiable spaces and paratopological groups

39 citations · 84 across the 51 of their papers we have counts for

collaborators

51 papers

math.GM2023

A note on complementary knowledge spaces

Fucai Lin

The pair $(Q, K)$ is a {\it knowledge space} if $⋃ K = Q$ and $K$ is closed under union, where $Q$ is a nonempty set and $K$ is a family…

math.GN2023

The characterizations of dense-pseudocompact and dense-connected spaces

Fucai Lin, Qiyun Wu

Assume that $P$ is a topological property of a space $X$ , then we say that $X$ is {\it dense- $P$ } if each dense subset of $X$ has the property $P$ . In…

math.GN2023

The quasi-metrizability of hyperspaces

Chuan Liu, Fucai Lin

For a space $X$ , let $(C L (X), τ_{V})$ , $(C L (X), τ_{l oc f in})$ and $(C L (X), τ_{F})$ be the set $C L (X)$ of all nonempty closed subsets of $X$ which are endowed with Vietoris topology, loc…

math.GN2022

Dense-separable groups and its applications in $d$ -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 $X$ , the hyperspace $(C L (X), τ_{F})$ (resp., $(C L (X), τ_{V})$ ) is the space of all nonempty closed subsets of $X$ with the Fell topology (resp., Vietoris topolo…

math.GN2022

Some properties of Pre-topological groups

Fucai Lin, Ting Wu, Yufan Xie +1

In this paper, we pose the concepts of pre-topological groups and some generalizations of pre-topological groups. First, we systematically investigate some basic properties of pre-…

A note on complementary knowledge spaces

The characterizations of dense-pseudocompact and dense-connected spaces

The quasi-metrizability of hyperspaces

Dense-separable groups and its applications in d-independence

Hyperspaces with a countable character of closed subsets

Some properties of Pre-topological groups

Dense-separable groups and its applications in $d$ -independence