L-拓扑空间中的半拟紧性(英文)  

A New Approach to Semi-precompactness

作　　者：赵杰[1] 杨文君[1] 

机构地区：[1]牡丹江师范学院计算机系,黑龙江牡丹江157012

出　　处：《模糊系统与数学》2006年第5期11-14,共4页Fuzzy Systems and Mathematics

基　　金：The supporting project of creativity for teachers of colleges and universities in Heilongjiang province.

摘　　要：在L-拓扑空间中借助于半拟开L-集合和它们的不等式给出了半拟紧性的一个新定义,这里L是完备的DeMorgan代数。它也能够借助于半拟闭L-集和它们的不等式刻画。当L是完全分配的DeMorgan代数时,它的许多刻画被给出了。A new definition of semi-precompactness is presented in L-topological spaces by means of semipreopen L-sets and their inequality, where L is a complete DeMorgan algebra. This new definition does not rely on the structure of the basis lattice L. It can also be characterized by means of semi-preclosed L-sets and their inequality. When L is a completely distributive DeMorgan algebra, its many characterizations are presented.

关 键 词：L-拓扑 拟开L-集 半拟开L-集 紧性 半紧性 半拟紧性 

分 类 号：O159[理学—数学]