On Products of Property b_1  

作　　者：Jianjun WANG Peiyong ZHU 

机构地区：[1]School of Mathematical Sciences,University of Electronic Science and Technology of China,Sichuan 611731,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2012年第2期241-247,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. 10671134;11026081)

摘　　要：t In this note, we present that： （1） Let X=o{X,, ： a C A} be ｜A｜-paracompact （resp., hereditarily ｜A｜-paracompact）. If every finite subproduct of {Xa： a C A} has property bl （resp., hereditarily property bl）, then so is X. （2） Let X be a P-space and Y a metric space. Then, X x Y has property bl iff X has property bl. （3） Let X be a strongly zero-dimensionM and compact space. Then, X x Y has property bl iff Y has property bl.t In this note, we present that： （1） Let X=o{X,, ： a C A} be ｜A｜-paracompact （resp., hereditarily ｜A｜-paracompact）. If every finite subproduct of {Xa： a C A} has property bl （resp., hereditarily property bl）, then so is X. （2） Let X be a P-space and Y a metric space. Then, X x Y has property bl iff X has property bl. （3） Let X be a strongly zero-dimensionM and compact space. Then, X x Y has property bl iff Y has property bl.

关 键 词：or-product Tychonoff products property b1 hereditarily property b1 

分 类 号：O189.11[理学—数学] F293.3[理学—基础数学]