| 拟连续Domain与广义完全分配格 |
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| 引用本文： | 杨金波,罗懋康.拟连续Domain与广义完全分配格[J].数学进展,2007,36(4):399-406. |
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| 作者姓名： | 杨金波 罗懋康 |
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| 作者单位： | 1. 四川大学数学学院,成都,四川,610064
2. 四川大学长江数学研究中心,成都,四川,610064 |
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| 基金项目： | 国家自然科学基金;教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 本文证明了(1)在合适的态射下,拟连续domain范畴与广义完全分配范畴等价;(2)对有界完备的拟连续domain P,(P,σ(P))为极大极限空间.
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| 关 键 词： | 拟连续domain 广义完全分配格 超连续格 强伪代数格 极大极限空间 |
| 文章编号： | 1000-0917（2007）04-0399-08 |
| 修稿时间： | 2005-04-04 |
Quasicontinuous Domains and Generalized Completely Distributive Lattices |
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| YANG Jinbo,LUO Maokang.Quasicontinuous Domains and Generalized Completely Distributive Lattices[J].Advances in Mathematics,2007,36(4):399-406. |
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| Authors: | YANG Jinbo LUO Maokang |
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| Institution: | 1.College of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, P. R. China;2.Yangtze Center Mathematics, Sichuan University, Chengdu, Sichuan, 610064, P. R. China |
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| Abstract: | In this paper we prove that (1) The category of distributive generalized completely lattices and the category of quasicontinuous domains (both endowed with suitable morphisms) are equivalent,and (2) Any bounded-complete quasicontinuous domain with its Scott topology forms a maximal limit space. |
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| Keywords: | quasicontinuous domain generalized completely distributive lattice hypercontinuous lattice strongly pseudoalgebraic lattice maximal limit space |
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