L-拓扑空间的相对Urysohn性质

Relative Urysohn Separation in L-Topological Space

在L-拓扑空间中定义了相对完全Hausdorff分离性与加强的相对完全Hausdorff分离性(即相对Ury-sohn性质),讨论了相对完全Hausdorff分离性与加强的完全Hausdorff分离性之间的关系,得到了相对完全Hausdorff分离性与加强的相对完全Hausdorff分离性的一系列性质,证明了相对Urysohn性质是遗传的、可乘的、同胚不变的,并且具有L-好的推广性质.

The relatively complete Hausdorff separation and relatively strong complete Hausdorff separation （i. e., relatively Urysohn separation）are defined in L-topological spaces . Some properties of relatively complete Hausdorff separation and relatively strong complete Hausdorff separation are studied , including the L-good extension , the hereditary property , the productive property and the homeomorphic invariant property . Relations of the relative Urysohn sepatation and other separation axioms are investigated.