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A co-analytic maximal set of orthogonal measures

2009/08/12 by Vera Fischer, Fischer, Vera, Asger Törnquist +2
Mathematics · #03E15 (Primary) #28A33 (Secondary) #28E15 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Mathematical Dynamics and Fractals #math.LO #msc:03E15 #msc:28A33 #msc:28E15

paper · pdf · doi:10.48550/arxiv.0908.1605

Minor corrections in the proof of the main theorem

openalex publication_date 2009/08/12 · arxiv created 2009/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 that no analytic set of measures can be maximal orthogonal.

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