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Measures Below Outer Measures

Published online by Cambridge University Press:  20 November 2018

Stephen Watson
Stephen Watson*
Affiliation:
Department of Mathematics, York University 4700 Keele Street North York, Ontario M3J 1P3
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Abstract

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We give a simple proof that, for any ॉ > 0, there is an outer measure μ* on a finite set X such that, for any measure Thus there is a non-zero outer (finitely subadditive) measure v* on the clopen subsets of the Cantor set such that, if v ≤ v* is a finitely additive measure on the clopen subsets of the Cantor set, then v ≡ 0.

Keywords

28A1228A3528C15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 2 , 01 June 1994 , pp. 270 - 271
Copyright
Copyright © Canadian Mathematical Society 1994