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Monotone normality, measures and hyperspaces

โœ Scribed by Henno Brandsma; Jan van Mill

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
839 KB
Volume
85
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

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 Diamonja.

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