| 形式背景的几种分离性 |
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| 引用本文： | 杨凌云,徐罗山.形式背景的几种分离性[J].扬州大学学报(自然科学版),2010,13(1). |
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| 作者姓名： | 杨凌云 徐罗山 |
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| 作者单位： | 1. 扬州大学数学科学学院,江苏扬州225002;徐州师范大学数学科学学院,江苏徐州221116
2. 扬州大学数学科学学院,江苏扬州,225002 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用拓扑方法定义了形式背景的T0,T1,T2分离性,探讨几种分离性之间的关系,并研究诸分离性的性质.证明了诸分离性对兼容子背景是遗传的且被满足一定条件的背景映射所保持.另外,还得到拓扑空间(X,τ)的上述几种分离性与形式背景(X,τ,∈)的相应分离性在一定条件下是一致的.
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| 关 键 词： | 形式背景 分离性 背景映射 兼容子背景 |
Separations of formal contexts |
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| YANG Ling-yun,XU Luo-shan.Separations of formal contexts[J].Journal of Yangzhou University(Natural Science Edition),2010,13(1). |
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| Authors: | YANG Ling-yun XU Luo-shan |
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| Institution: | YANG Ling-yun1,2,XU Luo-shan 2*(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China,2.Sch of Math Sci,Xuzhou Norm Univ,Xuzhou 221116,China) |
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| Abstract: | This paper introduces separations T0,T1 and T2 of formal contexts by means of topological methods.Relationships among them are discussed and properties of them are studied.It is proved that separations T0,T1 and T2 of formal contexts are hereditary for compatible sub-contexts and that separations T0,T1 and T2 of formal contexts are preserved by context mappings satisfying certain conditions.Furthermore,it is obtained that for a topological space,its separations mentioned above are equivalent to the correspo... |
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| Keywords: | formal context separation context mapping compatible sub-context |
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