拓扑空间上的一个群拓扑收敛性问题

Convergence of a Group Topology in Topological Space

应用拓扑空间中拓扑群的连续映射方法,讨论了一个群拓扑收敛性问题.证明了在拓扑空间的一族群拓扑中能找到一个群拓扑,使空间中的网依此群拓扑收敛到一点.

The continuous mapping method of topological group in topological space was ap-plied to study the convergence of a group topology.The results showed that there was a group top-ology in groups of topological space,which could enable nets in the space to converge topologically to one point.