标题： 局部紧致强拓扑环群中适当集的存在性 显示英文标题

标题： The existence of suitable sets in locally compact strongly topological gyrogroups

摘要： 一个拓扑gyrogroup$G$的子集$S$被称为$G$的{\it 适合的集合}，如果单位元$0$是$S$的唯一聚点，并且$\langle S\rangle$在$G$中是稠密的。 在本文中，证明了每个局部紧致的强拓扑gyrogroup都有一个合适集，这给出了对F. Lin等人提出的问题的一个肯定回答。 在 \cite{key14}。 显示英文摘要

摘要： A subset $S$ of a topological gyrogroup $G$ is said to be a {\it suitable set} for $G$ if the identity element $0$ is the unique accumulation point of $S$ and $\langle S\rangle$ is dense in $G$. In this paper, it is proved that every locally compact strongly topological gyrogroup has a suitable set, which gives an affirmative answer to a question posed by F. Lin, et al. in \cite{key14}.