ST1，ST2及强Hausdorf分离性与λ＿截拓扑

ST 1, ST 2 AND STRONGLY HAUSDORFF SEPARABILITIES AND λ _CUT TOPOLOGIES

在Ｌ＿Ｆｕｚｚｙ拓扑空间研究中几种分离性是λ＿截拓扑和λ＿弱诱导空间的关系，直接证明ＳＴ１，ＳＴ２及强Ｈａｕｓｄｏｒｆ分离性与λ＿可截性质，并得到，满层的λ＿弱诱导空间（ＬＸ，δ）是ＳＴ１空间，当且仅当λ＿截拓扑空间（Ｘ，ιλ（δ））是Ｔ１空间，当且仅当底空间（Ｘ，［δ］）是Ｔ１空间；满层的λ＿弱诱导空间（ＬＸ，δ）是ＳＴ２空间，当且仅当它是强Ｈａｕｓｄｏｒｆ空间，当且仅当λ＿截空间（Ｘ，ιλ（δ））是Ｈａｕｓｄｏｒｆ空间，当且仅当底空间（Ｘ。

In this paper, the relations between some separabilities in L _Fuzzy topological spaces, λ _cut topologies of L _Fuzzy topologies and λ _weakly induced spaces are discussed, the theorems are proved directly that ST 1, ST 2 and strongly Hausdorff separabilities are all λ _cutability properties; and the following conclusions are obtained: if L _Fuzzy topological space ( L X,δ ) is a fully_sheaved and λ _weakly inducedspace, then ( L X,δ ) is a S T 1_space, if and only if the λ _cut topological space ( X,ι λ(δ) ) is a T 1_space; if ( L X,δ ) is a fully_sheaved and λ _weakly induced space, then (L X,δ) is a ST 2_space, if and only if it is a strongly Hausdorff space, the λ _cut topological space ( X,ι λ(δ) ) is a Hausdorff space,and the base space ( X,) is a Hausdorff space.