An Application of Set Theory in Quasi-Paracompactness  

作　　者：Xiangeng ZHOU Shou LIN 

机构地区：[1]Institute of Mathematics,Ningde Normal University,Fujian 352100,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2022年第6期653-657,共5页数学研究及应用（英文版）

基　　金：the National Natural Science Foundation of China (Grant No. 12171015);the Natural Science Foundation of Fujian Province (Grant Nos. 2020J01428;2020J05230)

摘　　要：In 1977,Yingming Liu introduced quasi-paracompactness and proved that under 2^(ω1)>2~ωevery separable normal quasi-paracompact space is a paracompact space,which is a result of set-theoretic topology.In this paper we further prove that hypothesis“2^(ω1)>2~ω”is equivalent to that every separable normal quasi-paracompact space is a paracompact space,which gives an independent result of quasi-paracompactness.

关 键 词：quasi-paracompact space weak continuum hypothesis irreducible space ω1-compact space Stone-Cech compactification 

分 类 号：O189[理学—数学]