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December 2010 A co-analytic maximal set of orthogonal measures
Vera Fischer, Asger Törnquist
J. Symbolic Logic 75(4): 1403-1414 (December 2010). DOI: 10.2178/jsl/1286198154

Abstract

We prove that if V=L then there is a Π11 maximal orthogonal (i.e., mutually singular) set of measures on Cantor space. This provides a natural counterpoint to the well-known theorem of Preiss and Rataj [16] that no analytic set of measures can be maximal orthogonal.

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Vera Fischer. Asger Törnquist. "A co-analytic maximal set of orthogonal measures." J. Symbolic Logic 75 (4) 1403 - 1414, December 2010. https://doi.org/10.2178/jsl/1286198154

Information

Published: December 2010
First available in Project Euclid: 4 October 2010

zbMATH: 1213.03058
MathSciNet: MR2767976
Digital Object Identifier: 10.2178/jsl/1286198154

Subjects:
Primary: 03E15

Rights: Copyright © 2010 Association for Symbolic Logic

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Vol.75 • No. 4 • December 2010
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