| 三类特殊闭包空间的范畴性质 |
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| 引用本文： | 尉文静,李生刚.三类特殊闭包空间的范畴性质[J].山东大学学报(理学版),2010,45(10):73-77. |
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| 作者姓名： | 尉文静 李生刚 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安710062 |
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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： | 研究推理闭包空间范畴RCS、无底闭包空间范畴NCS以及代数闭包空间范畴ACS的性质。证明了RCS和NCS有乘积和余等值子但没有余积和等值子,ACS是一个topological construct,RCS是NCS的余反射满子范畴,并且ACS是CS(闭包空间范畴)的余反射满子范畴。
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| 关 键 词： | 闭包空间 推理闭包空间 无底闭包空间 代数闭包空间 topological construct 乘积 余积 余反射 |
| 收稿时间： | 2009-11-13 |
Categorical properties of three kinds of special closure spaces |
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| YU Wending,LI Sheng-gang.Categorical properties of three kinds of special closure spaces[J].Journal of Shandong University,2010,45(10):73-77. |
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| Authors: | YU Wending LI Sheng-gang |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China |
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| Abstract: | Properties of the category RCS of reasoning closure spaces, the category NCS of bottomless closure spaces and the category ACS of algebraic closure spaces are studied. It is proved that the categories RCS and NCS have products and coequalizers, but have no coproduct and equalizer, ACS is a topological construct, RCS is a coreflective full subcategory of NCS, and ACS is a coreflective full subcategory of CS. |
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| Keywords: | topological construct |
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