Fucai Lin

collaborators

4 papers

math.GN2026

Characterizations of quotient spaces for Lindelöf strongly topological gyrogroups

Shumin Lai, Fucai Lin

Let $L$ be the class of Lindelöf spaces such that $L$ is closed under finite products. In this paper, we prove that if $G \in L$ is a strongly topolog…

math.GN2026

The separability embedding of $σ$ -compact strongly topological gyrogroups

Shumin Lai, Fucai Lin

In this paper, it is shown that every right $ω$ -narrow strongly topological gyrogroup $G$ is right $ω$ -balanced by applying the gyrosemidirect product groups. Then we investigate t…

math.GN2025

Strongly topologically orderable gyrogroups with a suitable set

Jiamin He, Jiajia Yang, Fucai Lin

A discrete subset $S$ of a topologically gyrogroup $G$ is called a {\it suitable set} for $G$ if $S \cup {1}$ is closed and the subgyrogroup generated by $S$ is dense in $G$ , wher…

math.GN2025

The existence of suitable sets in locally compact strongly topological gyrogroups

Jiajia Yang, Jiamin He, Fucai Lin

A subset $S$ of a topological gyrogroup $G$ is said to be a {\it suitable set} for $G$ if $S$ is discrete, the gyrogroup generated by $S$ is dense in $G$ , and $S \cup {0}$ is clos…

Characterizations of quotient spaces for Lindelöf strongly topological gyrogroups

The separability embedding of σ-compact strongly topological gyrogroups

Strongly topologically orderable gyrogroups with a suitable set

The existence of suitable sets in locally compact strongly topological gyrogroups

The separability embedding of $σ$ -compact strongly topological gyrogroups