不分明化拓扑中的Tychonoff嵌入定理

Tychonoff'S Embedding Theorem in Fuzzifying Topology

本文给出了基于连续逻辑ｔ［０．１］上的全正则空间的定义及其基本性质。讨论了著名的Ｔｙｃｈｏｎｏｆｆ嵌入定理，得到了任何一个不分明化的Ｔ１全正则空间可以λ－嵌入到某个Ｔｙｃｈｏｎｏｆｆ方体ｓ＿Ｉ内的重要结论。

In this paper,we introduce the concept of completely regularity and establish a generalizatin of Tychonoff'S embedding theorem in the framework of fuzzifying topology.