A Note on Monotonically Metacompact Spaces

作     者：Hui LI Liangxue PENG 

作者机构：College of Applied Science Beijing University of Technology 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2013年第33卷第3期

页      面：353-360页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11271036) Beijing Natural Science Foundation(Grant No.1102002) Doctoral Fund of Innovation of Beijing University of Technology 

主　　题：GO-space paracompact monotonically metacompact monotonically ultraparacompact. 

摘      要：In the first part of this note, we mainly prove that monotone metacompactness is hereditary with respect to closed subspaces and open Fó-subspaces. For a generalized ordered (GO)-space X, we also show that X is monotonically metacompact if and only if its closed linearly ordered extension X* is monotonically metacompact. We also point out that every non-Archimedean space X is monotonically ultraparacompact. In the second part of this note, we give an alternate proof of the result that McAuley space is paracompact and metacompact.