和不分明化拓扑的若干性质

Some Properties of the Sum of Fuzzifying Topologies

本文给出了不分明化拓扑中“和拓扑空间Σｓ∈Ｓ（Ｘｓ，Ｊｓ）是紧的（Ｔｉ（ｉ＝０，１，２，３，４）、第一、二可数、局部紧和局部连通）当且仅当每个空间（Ｘｓ，Ｊｓ）是紧的（Ｔｉ（ｉ＝０，１，２，３，４）、第一、二可数、局部紧和局部连通）”等几个定理。

This paper introducd several theorems in fuzzifying topology,i. e,the sum of fuzzifying topological space Σs∈S is compact (Ti(i = 0, 1, 2, 3, 4),first-and second-countable, locally compact and locally connected)if and only if all spaces arecompact (Ti (i = 0, l, 2, 3, 4),first-and second-countable, locally compact and locally connected ).