| SL-闭包空间 |
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| 引用本文： | 陶波. SL-闭包空间[J]. 浙江科技学院学报, 2005, 17(1): 4-8 |
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| 作者姓名： | 陶波 |
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| 作者单位： | 浙江师范大学,数理学院,浙江,金华,321004 |
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| 摘 要： | 介绍了SL 闭包空间的概念,指出了它是LF拓扑空间中S 闭包算子的推广,并研究了它的收敛性;还提出了SL 连续映射的概念,并讨论了它的性质和刻画;进一步以SL 闭包空间为对象、SL 连续映射为态射,建立了SL闭包范畴SL CLOSURE。
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| 关 键 词： | 格拓扑空间 SL-闭包空间 SL-收剑性 SL-连续映射 范畴 |
| 文章编号： | 1671-8798(2005)01-0004-05 |
| 修稿时间： | 2004-03-08 |
SL-closure spaces |
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| TAO Bo. SL-closure spaces[J]. Journal of Zhejiang University of Science and Technology, 2005, 17(1): 4-8 |
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| Authors: | TAO Bo |
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| Abstract: | The concepts of S_L-closure space is presented. It is a generalization of S-closure operator in LF topological space. We study the convergence of it ,introduce the S_L-continuous generalize order homomorphisms and get its properties and characters. Furthermore, the category S_L-CLOSURE is established by objects S_L-closure and homomorphisms S_L-continous mapping. |
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| Keywords: | lattice topological space S_L-closure space S_L-convergence S_L-continous mapping category |
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