论文标题
适合强烈拓扑陀螺仪的合适套件
Suitable sets for strongly topological gyrogroups
论文作者
论文摘要
如果$ g $产生$ g $的密集subgyRogroup，则据说具有身份$ 0 $的拓扑gyrogroup $ g $的离散子集$ s $被认为是{\ it合适的set}，$ g $和$ s \ s \ cup \ {0 \ {0 \ {0 \} $在$ g $中关闭。在本文中，证明每个可计数的Hausdorff拓扑结构都有合适的集合。此外，已经表明，每个可分开的可分离性强拓扑gyrogroup都有合适的集合。
A discrete subset $S$ of a topological gyrogroup $G$ with the identity $0$ is said to be a {\it suitable set} for $G$ if it generates a dense subgyrogroup of $G$ and $S\cup \{0\}$ is closed in $G$. In this paper, it was proved that each countable Hausdorff topological gyrogroup has a suitable set; moreover, it is shown that each separable metrizable strongly topological gyrogroup has a suitable set.
