| 拓扑空间关于子基的紧致性 |
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| 引用本文： | 刘德金.拓扑空间关于子基的紧致性[J].纯粹数学与应用数学,2011,27(2):151-157. |
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| 作者姓名： | 刘德金 |
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| 作者单位： | 德州学院数学系,山东德州,253023 |
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| 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.
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| 关 键 词： | 子基 β开集 β紧致空间 β紧致子集 |
The compactness relative to a subbase for the topology |
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| LIU De-jin.The compactness relative to a subbase for the topology[J].Pure and Applied Mathematics,2011,27(2):151-157. |
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| Authors: | LIU De-jin |
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| Institution: | LIU De-jin(Department of Mathematics,Dezhou University,Dezhou 253023,China) |
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| Abstract: | 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. |
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| Keywords: | subbase the β open set the β compact space the β compact subset |
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