A co-analytic maximal set of orthogonal measures

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We prove that if V = L then there is a Π! 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 languageEnglish
JournalJournal of Symbolic Logic
Volume75
Issue number4
Pages (from-to)1403-1414
Number of pages12
ISSN0022-4812
DOIs
Publication statusPublished - 2010
Externally publishedYes

ID: 61336253