Real-Valued Functions and Some Covering Properties  

作　　者：Erguang YANG Li WANG 

机构地区：[1]School of Mathematics & Physics,Anhui University of Technology

出　　处：《Journal of Mathematical Research with Applications》2016年第5期561-567,共7页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11401262;11271178)

摘　　要：In the paper [properties defined with semi-continuous functions and some related spaces＇, Houston J. Math., 2015, 41（3）： 1097-1106] properties （UL）m^wl, （UL）mK and （UL）m were defined and it was shown that spaces having these properties coincide with countably paracompact spaces, countably mesocompact spaces and countably metacompact spaces, respectively. In this paper, we continue with the study on the relationship between properties defined with real-valued functions and some covering properties. Some characterizations of countably compact spaces and pseudo-compact spaces in terms of real-valued functions are obtained.In the paper [properties defined with semi-continuous functions and some related spaces＇, Houston J. Math., 2015, 41（3）： 1097-1106] properties （UL）m^wl, （UL）mK and （UL）m were defined and it was shown that spaces having these properties coincide with countably paracompact spaces, countably mesocompact spaces and countably metacompact spaces, respectively. In this paper, we continue with the study on the relationship between properties defined with real-valued functions and some covering properties. Some characterizations of countably compact spaces and pseudo-compact spaces in terms of real-valued functions are obtained.

关 键 词：real-valued functions countably compact spaces pseudo-compact spaces inser-tion theorems 

分 类 号：O189.11[理学—数学] O174[理学—基础数学]