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］。
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.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1999年第3期505-510,共6页
Acta Mathematica Sinica：Chinese Series
基金
辽宁省教委自然科学基金
关键词
DCPO
S开滤子拓扑
Core紧性
定向完备偏序集
DCPO, Scott open filter topology, core-compactness, Continuous DCPO,Stratified
anti-chain
