关于Scott拓扑的core紧性

ON CORE COMPACTNESS OF THE SCOTT TOPOLOGY

ＤＣＰＯＬ被称作Σ－ｃｏｒｅ紧的，如果当Ｌ赋以Ｓｃｏｔ拓扑后是一个ｃｏｒｅ紧空间．长期以来，从序结构的角度刻划那些Σ－ｃｏｒｅ紧的ＤＣＰＯ一直是悬而未解的问题．在一定的限制条件下讨论上述问题，并得到了一些结果．

A DCPO L is said Σ core compact if L is core compact with respect to the Scott topology on it.The question of characterizing those Σ core compact DCPO′s in terms of their order structure has not been solved.In this paper,the problem is discussed under certain conditions,and some results are given for a long time.