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Wilansky's query on outer measures
Published online by Cambridge University Press: 17 April 2009
Abstract
On a set X, let μ* be an outer measure and μ the measure induced by μ*. We show that if X is a finite set, then the measure μ is saturated. We give two examples of non-regular outer measures on an infinite set X which induce non-saturated and saturated measures, respectively. These answer a query posed by Wilansky.
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- Copyright © Australian Mathematical Society 1985