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A co-analytic maximal set of orthogonal measures

Published online by Cambridge University Press:  12 March 2014

Vera Fischer  and
Asger Törnquist
Vera Fischer
Affiliation:
Kurt Gödel Research Center, University of Vienna, Währinger Strasse 25, 1090 Vienna, Austria. E-mail: vfischer@logic.univie.ac.at
Asger Törnquist
Affiliation:
Kurt Gödel Research Center, University of Vienna, Währinger Strasse 25, 1090 Vienna, Austria. E-mail: asger@logic.univie.ac.at
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Abstract

We prove that if V = L then there is a 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.

Keywords

Descriptive set theoryconstructible sets
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 4 , December 2010 , pp. 1403 - 1414
Copyright
Copyright © Association for Symbolic Logic 2010

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