一种新形式的层次紧  

A New Form of Layered Compactness

作　　者：王秀平[1] 孟广武[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2008年第2期1-3,共3页Journal of Liaocheng University:Natural Science Edition

基　　金：山东省自然科学基金资助项目(Y2003A05)

摘　　要：给出了L-拓扑空间中一种新的层次紧,这种层次紧不要求格L是完全分配的.而且在每一层上,它与史福贵提出的不等式紧是等价的.同时利用r-开集研究了它的一些好的性质,比如保有限并、闭遗传性、连续像保持,并给出了它的一些特征.In this paper, a new form of compactness of L-spaces which does not rely on the structure of the basis lattice L and no distributivity in L is required is supplied. Moreover on every layer, it is equivalent to the one presented by Fu-gui shi. Meanwhile,its some good characterizations such as finite join-preserving and that the intersection of an r-compact set and an r′-closed set is fuzzy compact, the r-continuous image of an r-compact set is r-compact, are presented by means of r-open sets. Besides some characteristics are given.

关 键 词：L-拓扑空间 r-紧 r-开集 强α-shading 强α-remote族 

分 类 号：O189[理学—数学]