Uniform unfolding and analytic measurability (Q1283123)

The author gives a uniform method to prove that all analytic sets belong to many \(\sigma\)-algebras determined by forcing notions. This method works for topological forcings, as Cohen forcing or Random forcing, as well as for non-topological forcings, as Laver forcing, Miller forcing or Sacks forcing. The author uses the language of infinite games. In particular he defines generalizations of the Banach-Mazur game and proves results similar to the Banach-Mazur Theorem.