拓扑空间关于子基的紧致性  

The compactness relative to a subbase for the topology

作　　者：刘德金[1] 

机构地区：[1]德州学院数学系,山东德州253023

出　　处：《纯粹数学与应用数学》2011年第2期151-157,共7页Pure and Applied Mathematics

摘　　要：覆盖方法的应用在粗糙集理论研究中越来越受到重视,其中拓扑空间的子集关于子基的内部和闭包两个概念尤为重要.在由它们导入的关于子基的开集,闭集的基础上,给出了拓扑空间关于子基的紧致性概念,并研究它的性质,得到一般拓扑空间中紧致性的一种推广.Covering methods are widely used in rough set theory.The interior and the closure of a subset relative to a subbase for the topology are introduced to study the relationships between the rough sets and the topological space.We introduce the separateness relative to a subbase for the topology on the basis of open set and closed set relative to a subbase,and some properties are also discussed,which generalize separateness in a general topology.

关 键 词：子基 β开集 β紧致空间 β紧致子集 

分 类 号：O189.1[理学—数学] TP18[理学—基础数学]