Projective Measure Without Projective Baire

Know about the book -

Projective Measure Without Projective Baire is written by Sy David Friedman and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470442965 (ISBN 10) and 9781470442965 (ISBN 13).

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.