关于L-拓扑空间中两种新的相对Hausdorff分离性

Two new relative hausdorff separations in L-topological spaces

定义了L-拓扑空间的相对Kubiak-T2分离性与相对T2分离性。分别给出了相对Kubiak-T2分离性与相对分离性的等价刻划。研究了相对Kubiak-T2分离性与相对T2分离性的性质,包括遗传性,可乘性与L-好的推广。最后对相对Kubiak-T2分离性与相对T2分离性进行了比较。

The definitions of relative Kubiak - T2 separation and relative T2 separation are defined in L - topological spaces, and the characterizations of these separation axioms are given. Some properties of relative Kubiak - T2 separation and relative T2 separation are studied, including the hereditary property, the productive property and L -good extension. Finally,the relation of these two separations and other separations are investigated.