层胚空间与若干不分明紧性的等价性

从不分明拓扑空间的层次结构出发，引入并讨论了一类和弱诱导空间极相似的不分明拓扑空间——层胚空间。作为附产品，证明了：（１）超紧的Ｔ２空间是层胚空间，但不必为弱诱导空间；（２）设（Ｌｘ，δ）是Ｔ２空间，则它的Ｆ紧性，强Ｆ紧性，良紧性和超Ｆ紧性等价的充要条件是（Ｌｘ，δ）是层胚空间，改进了［１－２］的主要结果。

Uniform Level Spaces and the Equivalence of Some Compactness Notions in L-fts'

By analysing the level construction in L-fts',we instroduce and study the uniform level spaces which are much simialr with weakly induced fuzzy topological spaces in this paper,then we prove that:(1)A Hausdorff ultra compact space is a uniform level space but necessary a weakly indeced fuzzy topolgoical space;(2)Let (Lx,) be a Hausdroff space,then it's F-compactness ,strong F-compactness ,ultra compactness is equivalent to each other iff (Lx,) is a uniform level Space.These results improve the main results in .