| 关于Locale范畴反射子范畴的注解 |
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| 作者单位： | 南京师范大学数学与计算机科学学院，南京师范大学数学与计算机科学学院 南京 210097，南京 210097 |
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| 摘 要： | 利用Locale中的完全正则元和零维元构造性地给出了任意Locale的完全正则反射以及零维反射的描述,并且对于满足‘(?)’关系插入性的Locale,特别地,对正规Locale,证明了全体正则元构成的Locale是其正则反射.进而,利用平稳(flat)子Locale的扩张引理给出了Locale的紧完全正则反射,紧零维反射以及紧正则反射的构造性描述.
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| 关 键 词： | 反射性 正则Locale 完全正则Locale 零维Locale |
Notes on the Reflection Subcategory of the Category of Locales |
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| SUN Xiangrong HE Wei School of Mathematics and Computer Science,Nanjing Normal University,Nanjing ,China.. Notes on the Reflection Subcategory of the Category of Locales[J]. Chinese Annals of Mathematics, 2007, 0(6) |
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| Authors: | SUN Xiangrong HE Wei School of Mathematics Computer Science Nanjing Normal University Nanjing China. |
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| Affiliation: | SUN Xiangrong~* HE Wei~* ~*School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China. |
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| Abstract: | |
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| Keywords: | Reflection Regular Locale Completely regular Locale Zero-dimension Locale |
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