| L-外部空间范畴与L-拓扑空间范畴 |
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| 引用本文： | 马英,李令强,孟广武.L-外部空间范畴与L-拓扑空间范畴[J].烟台大学学报(自然科学与工程版),2012,25(1):16-18. |
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| 作者姓名： | 马英 李令强 孟广武 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城,252059 |
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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： | 引入了（满层的）L-外部空间的概念，证明了（满层的）L-拓扑空间范畴可以嵌入到（满层的）L-外部空间范畴作为具体的反射子范畴，并进一步证明了前者同构于后者的一个满足幂等条件的子范畴．
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| 关 键 词： | L-拓扑空间 L-外部空间 Gaolis联络 范畴 |
Category of L-exterior Spaces and Category of L-topological Spaces |
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| MA Ying
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LI Ling-qiang
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MENG Guang-wu.Category of L-exterior Spaces and Category of L-topological Spaces[J].Journal of Yantai University(Natural Science and Engineering edirion),2012,25(1):16-18. |
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| Authors: | MA Ying LI Ling-qiang MENG Guang-wu |
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| Institution: | (School of Mathematics Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | We introduce a notion of(stratified) L-exterior space,and prove that the category of(stratified) L-topological spaces can be embedded into the category of(stratified) L-exterior spaces as a reflective subcategory,further show that the former category is isomorphic to a subcategory which satisfies an idempotent condition of the later category. |
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| Keywords: | L-topological spaces L-exterior spaces Gaolis connection category |
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