L-fuzzy点式度量空间与一种T_2分离性

L-Fuzzy Pointwise Metric Spaces and ACertain T_2 Separation Axiom

在Lfuzzy 拓扑空间中引入了一种T2 分离性.这种T2 分离性有许多好的性质,如对子空间可遗传、在积运算下保持、是好的推广等.特别地,Lfuzzy 点式度量空间是T2 空间.T2 性蕴涵T1性且T1 正则性蕴涵T2 性.此外,这种T2 性质可由网的收敛与O收敛来刻画.

In this paper,a certain T2 separation axiom isintroducedin L fuzzytopologicalspaces.It has many good properties.Forexample,itis hereditary with respecttosubspace,itcan be preserved byproductoperation andis L good extension .In particular,a pointwise metricspaceis T2 .Moreover T2implies T1 and regular T1 implies T2 .It can also be characterized by means ofa convergence and 0 convergence net.