摘要
目的在于解决Ｌ－Ｆｕｚｚｙ拓扑中的如下两个公开问题：（１）Ｌ－Ｆｕｚｚｙ拓扑空间的特征小于、等于ｍ是否被连续的开序同态保持；（２）如何乘积空间的特征小于、等于ｍ，那么是否每个因子空间的特征也小于、等于ｍ。
In this paper, we solve two open problems on the character of L-Fuzzy topological spaces. our main results are:Theorem 2 for a continuous and open order-homomorphism f of an L-fts (Lx,δ) to an L-fts(L,μ)where f maps M(Lx)onto M(L),X(L,μ)≤X(Lx,δ),Theorem 4 If X((Lxt, δt))≤m, and for t∈T,(Lxt,δt) is fully stratified,then X(Lxt,δt)≤m.
关键词
LF拓扑空间
序同态
特征
乘积空间
: LF topological space
order isomerphism
characteristics
product space
