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

页码：287 / 298

页数：12

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