拓扑空间的超分离性

The Hyperseparateness for Topological Space

在粗糙集理论研究中,覆盖方法的应用越来越受到重视,其中拓扑空间的子集关于子基的内部和闭包2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,给出了拓扑空间超分离性概念,并研究它们的性质,得到一般拓扑空间分离性概念的一种推广.

Covering methods are attracting more and more attentions in the study of 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. Hyperseparateness relative to a subbase for the topology based on open set and closed set relative to a subbase is given. Some of its properties are studied. Separateness in a general topology is generalized.