论文标题
（强）拓扑陀螺的可分离性
Separability in (strongly) topological gyrogroups
论文作者
论文摘要
可分离性是最基本，最重要的拓扑特性之一。在本文中，研究了（强）拓扑陀螺仪中的可分离性。事实证明，每一个可分离的左ω-纳尔都可以分离。此外，结果表明，如果羽毛强烈的拓扑陀螺仪G与可分离的强拓扑陀螺仪的子gyro群是同构的，则G是可分离的。因此，如果可分离的强烈拓扑陀螺仪的可分离的可分离的近代群具有同构，则G是可分离的，并且如果局部紧凑的强烈拓扑陀螺仪Gyropoloup G是与可分开的强拓扑吉利群的亚育型的同构，那么g是可分开的。
Separability is one of the most basic and important topological properties. In this paper, the separability in (strongly) topological gyrogroups is studied. It is proved that every first-countable left ω-narrow strongly topological gyrogroup is separable. Furthermore, it is shown that if a feathered strongly topological gyrogroup G is isomorphic to a subgyrogroup of a separable strongly topological gyrogroup, then G is separable. Therefore, if a metrizable strongly topological gyrogroup G is isomorphic to a subgyrogroup of a separable strongly topological gyrogroup, then G is separable, and if a locally compact strongly topological gyrogroup G is isomorphic to a subgyrogroup of a separable strongly topological gyrogroup, then G is separable.
