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.
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页码：287 / 298
页数：12
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