| 一类基于分层量化的Domain上的广义Alexander拓扑 |
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| 引用本文： | 武利刚,樊磊.一类基于分层量化的Domain上的广义Alexander拓扑[J].模糊系统与数学,2011,25(3):79-85. |
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| 作者姓名： | 武利刚 樊磊 |
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| 作者单位： | 1. 首都师范大学数学科学学院,北京,100048
2. 首都师范大学教育技术系,北京,100048 |
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| 基金项目： | 首都师范大学科研专项基金资助项目(09530380005),首都师范大学研究生学术创新基金资助项目 |
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| 摘 要： | 文献8]提出了一类基于分层量化的偏序集结构(以下简称R-偏序集).此结构是sfe5]的非对称推广,也是拟度量空间(quasi-metric spaces,qms)3]和广义超度量空间(generalized ultrametric spaces,gums)4]的一种特殊情形.本文定义了其上的广义Alexande...
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| 关 键 词： | R-偏序集 广义Alexander拓扑 R-单调映射 连续映射 |
Generalized Alexander Topology on Domains Based on Sheaves' Quantification |
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| WU Li-gang,FAN Lei.Generalized Alexander Topology on Domains Based on Sheaves' Quantification[J].Fuzzy Systems and Mathematics,2011,25(3):79-85. |
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| Authors: | WU Li-gang FAN Lei |
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| Institution: | WU Li-gang1,FAN Lei2(1.School of Mathematics Science,Capital Normal University,Beijing 100048,China,2.Department of Educational Technology,China) |
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| Abstract: | Based on sheaves' quantification,8] proposed a class of sets with families of pre-orders(R-posets for short).They are not only a non-symmetric generalization of sfe but also a special case of quasi-metric spaces(qms) and generalized ultrametric spaces (gums).In this paper,we define a kind of generalized Alexander topology on R-posets and discuss some basic properties of the topology.Several examples relative to these properties are given, and the continuous functions with respect to(w.r.t for short) the ge... |
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| Keywords: | R-posets Generalized Alexander Topology R-monotone Functions Continuous Functions |
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