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Book Synopsis
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.

Projective Measure Without Projective Baire

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    A Paperback by Sy David Friedman, David Schrittesser

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      Book details

      Publisher American Mathematical Society
      Published 3/30/2021 12:00:00 AM
      ISBN-13 9781470442965
      978-1470442965
      ISBN-10 1470442965

      Description

      Book Synopsis
      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.

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