A co-analytic maximal set of orthogonal measures

Vera Fischer; Asger Tornquist

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arXiv · 0908.1605

A co-analytic maximal set of orthogonal measures

Vera Fischer·Asger Tornquist

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Abstract

We prove that if $V=L$ then there is a $Π^1_1$ 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 that no analytic set of measures can be maximal orthogonal.

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Vera Fischer, Asger Tornquist. 2009-08-26. A co-analytic maximal set of orthogonal measures. https://arxiv.org/abs/0908.1605

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