Compact monotonically metacompact spaces are metrizable

被引：11
作者：
Chase, Timothy [1 ]
Gruenhage, Gary [1 ]
机构：
[1] Auburn Univ, Dept Math, Auburn, AL 36830 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 01期
关键词：
Monotonically (countably) metacompact; Metrizable; Single ultrafilter space;
D O I：
10.1016/j.topol.2012.09.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Monotonically metacompact spaces were recently introduced as an extension of the concept of monotonically compact spaces. In this note we answer a question of Popvassilev, and Bennett, Hart, and Lutzer, by showing that every compact, Hausdorff, monotonically (countably) metacompact space is metrizable. We also show that certain countable spaces fail to be monotonically (countably) metacompact. (C) 2012 Elsevier By. All rights reserved.
引用
收藏
页码：45 / 49
页数：5
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