MONOTONE NORMALITY

被引：70

作者：

BALOGH, Z

RUDIN, ME

机构：

[1] MIAMI UNIV,DEPT MATH,OXFORD,OH 45056

[2] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706

来源：

TOPOLOGY AND ITS APPLICATIONS | 1992年 / 47卷 / 02期

关键词：

MONOTONICALLY NORMAL; PARACOMPACT; REFINEMENT; SHRINKING;

D O I：

10.1016/0166-8641(92)90066-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two theorems are given analyzing the possible refinements of open covers of a monotonically normal space X. The first shows that X is paracompact if and only if X has no closed subset homeomorphic to a stationary subset of a regular uncountable cardinal. The second shows that if U is an open cover of X, then U has a sigma-disjoint open, partial refinement V such that X - UV is the union of a discrete family of stationary subsets of regular uncountable cardinals.

引用

页码：115 / 127

页数：13

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