On P-sober Spaces  

作　　者：Yu Jing Zhang Bin Zhao 

机构地区：[1]School of Mathematics and Statistics,Shaanxi Normal University,Xi’an,710119,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第9期1768-1780,共13页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11531009)。

摘　　要：In this paper,we focus on p-sober spaces and prove that(1)the To space X is p-sober if and only if the Smyth power space of X is p-sober;(2)the space X has a p-sober dcpo model if and only if X is T_(1)and p-sober;(3)every non-p-sober T_(0)space does not have a p-sobrification;(4)the T_(0)space X is sober if and only if X is p-sober and PD.

关 键 词：P-sober dcpo poset model of topological space p-sobrification 

分 类 号：O189.11[理学—数学]