A co-analytic maximal set of orthogonal measures

Vera Fischer; Asger Dag Törnquist

doi:10.2178/jsl/1286198154

A co-analytic maximal set of orthogonal measures

3 Citations (Scopus)

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.

Original language	English
Journal	Journal of Symbolic Logic
Volume	75
Issue number	4
Pages (from-to)	1403-1414
Number of pages	12
ISSN	0022-4812
DOIs	https://doi.org/10.2178/jsl/1286198154
Publication status	Published - Dec 2010
Externally published	Yes

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AB - 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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DO - 10.2178/jsl/1286198154

M3 - Journal article

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A co-analytic maximal set of orthogonal measures

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