| Locale上的收敛结构 |
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| 引用本文： | 梁基华.Locale上的收敛结构[J].数学学报,1995,38(3):294-300. |
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| 作者姓名： | 梁基华 |
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| 作者单位： | 四川大学数学系 |
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| 基金项目： | 国家自然科学基金、国家教委博士点基金 |
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| 摘 要： | 本文从点式处理角度，在Ｌｏｃａｌｅ上成功地建立了收敛结构。利用它研究了一致Ｌｏｃａｌｅ的完备性、刻划紧性，、界定了Ｌｏｃａｌｅ上一种满意的Ｈａｕｓｄｏｒｆｆ分离性，
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| 关 键 词： | Locale、Frame、一致、理想、柯西理想、收敛、完备 |
| 收稿时间： | 1992-10-14 |
Convergence and Cauchy Structures on Locales |
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| Liang Jihua.Convergence and Cauchy Structures on Locales[J].Acta Mathematica Sinica,1995,38(3):294-300. |
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| Authors: | Liang Jihua |
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| Institution: | Liang Jihua(Department of Mathematics,Sichuan University, Chengdu 610064,China) |
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| Abstract: | In this paper,we have introduced covergence and Cauchy structures on focales,andgiven a characterization of compact locale using the convergence structure. Also,to ensure theuniqueness of limit,a satisfied Hausdorff property in locale is presented.Moreover,we have alsoconsiderded completeness of uniformity locale and proved that compat property is equivalent tocomplete and total bounded properties for general local. |
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| Keywords: | convergence Cauchy ideal locale uniformity locale complete Hausdorff property |
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