Monotone normality, measures and hyperspaces

被引：2
|
作者：
Brandsma, H [1 ]
van Mill, J [1 ]
机构：
[1] Free Univ Amsterdam, Fac Math & Comp Sci, NL-1081 HV Amsterdam, Netherlands
来源：
TOPOLOGY AND ITS APPLICATIONS | 1998年 / 85卷 / 1-3期
关键词：
hyperspaces; monolithic; compact spaces; monotone normality; measure separable;
D O I：
10.1016/S0166-8641(97)00139-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that a compact Hausdorff, hereditarily Lindelof, monolithic, monotonically normal space has a monolithic hyperspace. This generalises a result of M. Bell for ordered spaces. A consistent example of a nonmonotonically normal space with a monolithic hyperspace is given. We also show that every monotonically normal compact space is measure separable in the sense of Kunen and Dzamonja. (C) 1998 Elsevier Science B.V.
引用
收藏
页码：287 / 298
页数：12
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