Fucai Lin

collaborators

3 papers

math.GN2026

Suitable sets for topological groups revisited

Fucai Lin, Jiamin He, Jiajia Yang +1

A discrete subset $S$ of a topological group $G$ is called a {\it suitable set} for $G$ if $S \cup {e}$ is closed in $G$ and the subgroup generated by $S$ is dense in $G$ , where $…

math.GR2025

Some generalized metric properties of $n$ -semitopological groups

Fucai Lin, Xixi Qi

A semitopological group $G$ is called {\it an $n$ -semitopological group}, if for any $g \in G$ with $e \neq \in {g}$ there is a neighborhood $W$ of $e$ such that $g\not\in…

math.GN2025

The characterizations of hyperspaces and free topological groups with an $I ¨ ^{I ¨} $ -base

Fucai Lin, Chuan Liu

A topological space $(X, I ¨ )$ is said to be have an {\it $I ¨ ^{I ¨} $ -base} if for each point $x \in X$ there exists a neighborhood base ${U_{I^} \pm [x] : I^\pm \in I ¨ ^{I ¨} }$ such that $U_Î²[x]\subs…

Suitable sets for topological groups revisited

Some generalized metric properties of n-semitopological groups

The characterizations of hyperspaces and free topological groups with an I¨I¨-base

Some generalized metric properties of $n$ -semitopological groups

The characterizations of hyperspaces and free topological groups with an $I ¨ ^{I ¨} $ -base