q-正规空间 |
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引用本文: | 刘毅,李承学.q-正规空间[J].佳木斯工学院学报,2012(2):314-315. |
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作者姓名: | 刘毅 李承学 |
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作者单位: | 成都疆工大学应用数学系,四川成都610059 |
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摘 要: | 主要引入了q–正规空间,得到了以下主要结论:(1)X是q-正规空间当且仅当A闭X和A的任何一个开领域U,存在A的一个开领域V,使得V-(q)U;(2)q-正规空间的α-集子空间是q–正规空间等.
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关 键 词: | q-开集 α-集 q-正则空间 q-正规空间 |
q- Normal Spaces |
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Affiliation: | LIU Yi, LI Cheng - xue (Department of Applied Mathematics, Chengdu University of Technology, Chengdu 610059, China) |
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Abstract: | In this paper, the notion of q - normal spaces was introduced and the following results were mainly obtained and proved: (1) X is a q -normal space if and only if for every closed setA of X and every open domain U ofA , there is an open domain V, such that - set subspace of q -normal space is q -normal space, and so on. |
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Keywords: | q - open set a - set q - regular space q - normal space |
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