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 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Journal of Symbolic Logic
Vol/bind	75
Udgave nummer	4
Sider (fra-til)	1403-1414
Antal sider	12
ISSN	0022-4812
DOI	https://doi.org/10.2178/jsl/1286198154
Status	Udgivet - dec. 2010
Udgivet eksternt	Ja

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10.2178/jsl/1286198154

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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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A co-analytic maximal set of orthogonal measures

Abstract

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