| 关于Scott开滤子拓扑的core紧性 |
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| 引用本文： | 谢琳.关于Scott开滤子拓扑的core紧性[J].数学学报,1999,42(3):505-510. |
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| 作者姓名： | 谢琳 |
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| 作者单位： | 辽宁师范大学数学系,大连,116029 |
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| 基金项目： | 辽宁省教委自然科学基金 |
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| 摘 要： | 本文讨论了那样一些ＤＣＰＯ（即定向完备偏序集）的刻划问题，它们在赋以Ｓｃｏｔｔ开滤子拓扑后，其拓扑空间的开集格是连续格。该问题也是由ＬａｗｓｏｎＪＤ。与ＭｉｓｌｏｖｅＭ．提出的一系列公开问题中的一个［１］。
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| 关 键 词： | DCPO，Scott开滤子拓扑，core－紧性，连续DCPO，层式反链 |
| 修稿时间： | :1997-08-1 |
On Core Compactness of Scott Open Fliter Topology |
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| Xie Lin.On Core Compactness of Scott Open Fliter Topology[J].Acta Mathematica Sinica,1999,42(3):505-510. |
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| Authors: | Xie Lin |
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| Institution: | Xie Lin(Department ol Mathematics,
Liaoning Normal University, Dolian 116029, P.R. China) |
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| Abstract: | This note is devoted to the
discussion of the following problem: characterizethose DCPO's (i.e. directed complete poset), for
which the open-set lattices withrespect to the Scott open filter topology are continuous. The
problem is also one ofthose open problems which were posed by Lawson J.D. and Mislove M. |
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| Keywords: | DCPO Scott open filter topology core-compactness Continuous DCPO Stratified anti-chain |
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