Fucai Lin

collaborators

2 papers

math.GN2025

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.GN2025

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

Fucai Lin, Chuan Liu

A topological space $(X, τ)$ is said to be have an {\it $ω^{ω}$ -base} if for each point $x \in X$ there exists a neighborhood base ${U_{α} [x] : α \in ω^{ω}}$ such that $U_β[x]\subset U_α[x…

Suitable sets for topological groups revisited

The characterizations of hyperspaces and free topological groups with an ωω-base

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