A co-analytic maximal set of orthogonal measures

Details A co-analytic maximal set of orthogonal measures A co-analytic maximal set of orthogonal measures

2009-08-12

arxiv.org/abs/0908.1605v2

Mathematics

Logic

Minor corrections in the proof of the main theorem

Scientific paper

We prove that if $V=L$ then there is a $\Pi^1_1$ 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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