| 格化拓扑公理系统的简化 |
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| 引用本文： | 王建功.格化拓扑公理系统的简化[J].西北大学学报,2004,34(1):4-6. |
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| 作者姓名： | 王建功 |
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| 作者单位： | 陕西广播电视大学，陕西西安710068 |
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| 基金项目： | 陕西省自然科学基金资助项目(2000SL06) |
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| 摘 要： | 目的 简化格化拓扑中泛邻元系公理系统和网泛敛关系公理系统。方法对照一般拓扑学中邻域系公理理论和More-smith收敛理论，构造格化拓扑中泛邻元系和网泛敛关系的最基本的条件。结果泛邻元系公理系统原来的7条公理被简化成为5条，网泛敛关系公理系统原来的8条公理被简化成为5条。结论泛邻元系公理系统和网泛敛关系公理系统简化后，表述更清晰，应用更方便。
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| 关 键 词： | 格化拓扑 泛邻元系 网泛敛关系 |
| 文章编号： | 1000-274X(2004)01-0004-03 |
| 修稿时间： | 2003年6月20日 |
The simplification of axiomatical systems of lattice topology |
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| WANG Jian-gong.The simplification of axiomatical systems of lattice topology[J].Journal of Northwest University(Natural Science Edition),2004,34(1):4-6. |
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| Authors: | WANG Jian-gong |
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| Abstract: | AimTo simplify the axiomatical system of the pan-neighbourhood system and the net pan-convergence relation. MethodsTo build up the basic conditions of the pan-neighborhood system and the net pan-convergence relation of lattice topology against the axiomatical theory of the neighbourhood system and the theory of the More-smith convergence of general topologies. Results The seven axioms on the pan-neighborhood system and the eight axioms on the net pan-convergence relation are simplified to the five axioms respectively. Conclusion After the axiomatical system of the pan-neighbourhood system and the net pan-convergence are simplified,a clearer demonstration and a more convenient appliance will be shown. |
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| Keywords: | lattice topology the pan-neighborhood system the net pan-convergence relation |
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