SOME RESULTS ABOUT COVERING PROPERTIES OF PRODUCTS
SOME RESULTS ABOUT COVERING PROPERTIES OF PRODUCTS作者机构:SICHUAN UNIVINST MATHCHENGDU 610064PEOPLES R CHINA
出 版 物:《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))
年 卷 期:1994年第15卷第1期
页 面:53-58页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题:Product space Covering properties Screenable p-space Metric space.
摘 要:The following results are proved:1. Let X be a screenable p-space and Y a metric space. Then X × Y is screenable.2. Let X be a strongly submetacompact p-space and Y a metacompact Σ-space. ThenN × Y is strongly submetacompact.3. Suppose that X = ∏ Xn is countably paracompact and for each n ω, ∏ Xi issubmota-Lindelsf Then X is submeta-Lindelof