Inverse limits of hereditarily almost expandable class

作     者：ZHAO Bin 

作者机构：Dept. of Math. Kashgar Teacher＇s College Kashgar 844007 China Dept. of Math. ＆ Informatics Faculty of Science Chiba Univ. Chiba 263 - 8522 Japan 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2009年第24卷第2期

页      面：237-244页

核心收录：

学科分类：07[理学] 09[农学] 070104[理学-应用数学] 0901[农学-作物学] 0701[理学-数学] 

基　　金：Supported by the Scientific Fund of the Educational Committee of Xinjiang of China (XJEDU2004158) 

主　　题：inverse limit space κ-metacompactness κ-σ-metacompactness hereditarily pointwise collection- wise normal hereditarily almost θ-expandable hereditarily almost σ-expandable 

摘      要：In this paper, the hereditarily almost expandability of inverse limits is investigated, with two results obtained. Let X be the inverse limit space of an inverse system （Xα, π^αβ, ∧}. （1） Suppose X is hereditarily κ-metacompact, if each Xα is hereditarily pointwise collectionwise normal （almost θ-expandable, almost discrete θ-expandable）, then so is X; （2） Suppose X is hereditarily κ-σ-metacompact, if each Xα is hereditarily almost σ-expandable （almost discrete σ-expandable = σ-pointwise collectionwise normal）, then so is X.