| 具有分离性的预拓扑空间的范畴性质 |
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| 引用本文： | 于茸茸,李生刚.具有分离性的预拓扑空间的范畴性质[J].山东大学学报(理学版),2009,44(4):15-20. |
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| 作者姓名： | 于茸茸 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; |
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| 基金项目： | 国家自然科学基金资助项目(10271069) |
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| 摘 要： | 刻画了Ti预拓扑空间及连续映射的范畴PTopi中的满态射、单态射、极端单态 射和极端满态射(i=0,1,2,3,312,4)。证明完全正则预拓扑空间及连续映射的范畴Tych和PTopi是预拓扑空间及连续映射的范畴PTop的满反射子范畴(i=0,1,2,3)。
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| 关 键 词： | 预拓扑空间 分离公理 单态射 满态射 极端单态射 极端满态射 满反射子范畴 |
| 收稿时间： | 2008-11-18 |
Categorical properties of pre-topological spaces with some separations |
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| YU Rong-rong,LI Sheng-gang.Categorical properties of pre-topological spaces with some separations[J].Journal of Shandong University,2009,44(4):15-20. |
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| Authors: | YU Rong-rong 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: | Epimorphisms,monomorphisms,extremal monomorphisms,and extremal epimorphisms of PTopi,the category of Ti pre-topological spaces and continuous mappings between them are characterized(i=0,1,2,3,312,4).It is proved that Tych,the category of complete regular pre-topological spaces and continuous mappings between them,and PTopi(i=0,1,2,3) are epireflective subcategories of PTop,which is the category of pre-topological spaces and continuous mappings between them. |
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| Keywords: | pre-topological space separation axiom monomorphism epimorphism extremal monomorphism extremal epimorphism epireflective subcategory |
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