A co-analytic maximal set of orthogonal measures
arXiv:0908.1605
Abstract
We prove that if then there is a 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.
Minor corrections in the proof of the main theorem