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2006/2007 On Weakly Metrically Transitive Measures and Nonmeasurable Sets
A. B. Kharazishvili, A. P. Kirtadze
Real Anal. Exchange 32(2): 553-562 (2006/2007).

Abstract

It is shown that some analog of Minkowski's method in geometric number theory enables to establish the existence of sets which are absolutely nonmeasurable with respect to weakly metrically transitive invariant measures.

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A. B. Kharazishvili. A. P. Kirtadze. "On Weakly Metrically Transitive Measures and Nonmeasurable Sets." Real Anal. Exchange 32 (2) 553 - 562, 2006/2007.

Information

Published: 2006/2007
First available in Project Euclid: 3 January 2008

zbMATH: 1132.28001
MathSciNet: MR2369864

Subjects:
Primary: 28A05
Secondary: 28D05

Keywords: $G$-selector , convex set , extension of measure , invariant measure , nonmeasurable set , weakly metrically transitive measure

Rights: Copyright © 2006 Michigan State University Press

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Vol.32 • No. 2 • 2006/2007
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