L-fuzzy闭包空间的T1与T2分离性

摘要

研究了L - fuzzy闭包空间的T1与T2分离性.首先定义了L- fuzzy闭包空间的T1与T2分离性的概念,其次用类比、推广的方法讨论了T1与T2分离性的遗传性,可乘性等性质.证明了一个T1 (resp.,T2)L - fuzzy闭包空间的子空间仍是T1(resp.,T2)L- fuzzy闭包空间,一族T1(resp.,T1)L - fuzzy闭包空间的乘积空间仍是T1(resp.,T2)L- fuzzy闭包空间的结果.这些结果表明定义的L - fuzzy闭包空间的T1与T2分离性具有遗传性,可乘性.%T1 and T2 separation axioms of L-fuzzy closure spaces are studied in this paper. Firstly, the concepts of T1 and T2 separation axioms in L-fuzzy closure spaces are defined, then their hereditary property and productive property are disscussed by using the methods of analogy and generalization. It is proved that both a sub space of T1 (resp. ,T2) L-fuzzy closure space and the product space of a class of T1(resp. , T2) L-fuzzy closure spaces are a T1(resp. , T2) L-fuzzy closure space. These results indicate that the T1 and T2 separation axioms defined in this paper are hereditary and productive.