A co-analytic maximal set of orthogonal measures
classification
🧮 math.LO
keywords
maximalmeasuresorthogonalanalyticcantorco-analyticcounterpointmutually
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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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