On AP-property of Function Spaces  

作　　者：SHEN Rong-xin 

机构地区：[1]Department of Mathematics, Taizhou Teacher's College, Taizhou 225300, China [2] Department of Math-ematics, Nanjing University, Nanjing 210093, China

出　　处：《Chinese Quarterly Journal of Mathematics》2012年第3期447-451,共5页数学季刊（英文版）

基　　金：Supported by the NNSF of China（10971185）; Supported by the China Postdoctoral Science Foundation Funded Project（20090461093, 201003571）; Supported by the Jiangsu Planned Projects for Postdoctoral Research Funds（0902064C）; Supported by the Taizhou Teachers＇ College Research Funds

摘　　要：In this paper, it is discussed the AP-property of function spaces. We prove that for any compact network α for a space X which is closed under finite unions, (1) if C α (X) is an AP-space and X is paracompact, then X is a Hurewicz space; (2) if C α (X) is an AP-space which has countable tightness, then C α (X) is discretely generated.

关 键 词：SHEN Rong-xin（1981-） male native of Taizhou Jiangsu an associate professor of TaizhouTeacher＇s College PH.D. engages in general topology. 

分 类 号：O189.11[理学—数学]