Projective maximal families of orthogonal measures with large continuum
Logic
2011-06-22 v1
Abstract
We study maximal orthogonal families of Borel probability measures on (abbreviated m.o. families) and show that there are generic extensions of the constructible universe in which each of the following holds: (1) There is a -definable well order of the reals, there is a -definable m.o. family, there are no -definable m.o. families and (in fact any reasonable value of will do). (2) There is a -definable well order of the reals, there is a -definable m.o. family, there are no -definable m.o. families, and .
Keywords
Cite
@article{arxiv.1106.4273,
title = {Projective maximal families of orthogonal measures with large continuum},
author = {Vera Fischer and Sy-David Friedman and Asger Tornquist},
journal= {arXiv preprint arXiv:1106.4273},
year = {2011}
}
Comments
12 pages