Lω-空间中的ω-Tychonoff分离性  

ω-Tychonoff Separation in Lωspaces

作　　者：黄金兰[1] 陈水利[1] 

机构地区：[1]集美大学理学院数学系,福建厦门361021

出　　处：《模糊系统与数学》2012年第4期43-48,共6页Fuzzy Systems and Mathematics

基　　金：福建省自然科学基金资助项目(2011J01013)

摘　　要：在Lω-空间中,借助于ω-连续的L值Zadeh型函数,给出ω-Tychonoff分离性的定义,并系统研究ω-Tychonoff分离性的特征性质。证明ω-Tychonoff分离性是可遗传的、任意可乘的、ω-弱同胚不变的。In Lω-space,the concept of ω-Tychonoff separation axiom is introduced by means of ω-conrinuous L-valued Zadeh function.Characterizations of the concept are systematically studied.Some important properties of ω-Tychonoff separation are given,such as,ω-Tychonoff separation is hereditary,arbitrary multiplicative and topological invariant under（ω1,ω2）-homeomorphic L-valued Zadeh function.

关 键 词：L-fuzzy保序算子 LΩ-空间 ω-远域 ω-Tychonoff分离性 

分 类 号：O189[理学—数学]