Projective Measure Without Projective Baire

Download or read book Projective Measure Without Projective Baire written by Sy David Friedman and published by American Mathematical Society. This book was released on 2021-02-10 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors prove that it is consistent (relative to a Mahlo cardinal) that all projective sets of reals are Lebesgue measurable, but there is a $Delta^1_3$ set without the Baire property. The complexity of the set which provides a counterexample to the Baire property is optimal.