I(L)型诱导空间与良紧性

I(L) Type Induced Spaces and the Fine Compactness

在本文中,我们建立了一类新的诱导空间概念,即对每一L不分明拓扑空间（L^x,σ）,利用I(L)值下半连续映射概念,可定义一个I(L)不分明拓扑空间（I(L)~x,ω(σ)）。我们讨论了这一类诱导空间的基本性质,并且证明了:（L^x,σ）是良紧的当且仅当（I(L)~x,ω(σ)）是良紧的。

In this paper, we introduce a new kind of Induced fuzzy topologlcal spaces and Investigate some of their blsic properties. We also prove an interesting result; (L . σ) Is fine compact If and only if (I(L) . ω(σ)) Is fine compact.