B(LF,ω～2 )-refinability of inverse limits  

作　　者：XIONG Zhao-hui YANG Ming-quan 

机构地区：[1]Department of Mathematics, Zhejiang Sci-Tech University , Hangzhou 310018, China [2]Department of Mathematics, Jiaxing College, Jiaxing 314001, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2010年第4期496-502,共7页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10671173)

摘　　要：Let X be the limit of an inverse system {Xα, παβ, ∧} and and let λ be the cardinal number of A. Assume that each projection πα ： X → Xα is an open and onto map and X is A-paracompact. We prove that if each Xα is B（LF, ω^2）-refinable （hereditarily B（LF, ω^2）- refinable）, then X is B（LF, ω^2）-refinable （hereditarily B（LF,ω ^2）-refinable）. Furthermore, we show that B（LF, ω^2）-refinable spaces can be preserved inversely undcr closed maps.Let X be the limit of an inverse system {Xα, παβ, ∧} and and let λ be the cardinal number of A. Assume that each projection πα ： X → Xα is an open and onto map and X is A-paracompact. We prove that if each Xα is B（LF, ω^2）-refinable （hereditarily B（LF, ω^2）- refinable）, then X is B（LF, ω^2）-refinable （hereditarily B（LF,ω ^2）-refinable）. Furthermore, we show that B（LF, ω^2）-refinable spaces can be preserved inversely undcr closed maps.

关 键 词：Inverse limit B（LF ω^2）-refinability hereditary B（LF ω ^2）-refinability. 

分 类 号：O189.11[理学—数学] TP316.86[理学—基础数学]