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Applications of the ergodic iteration theorem
Authors:Jindřich Zapletal
Affiliation:1. Institute of Mathematics, Academy of Sciences, ?itná 25, 115 67 Praha 1, Czech Republic;2. Department of Mathematics, University of Florida, Gainesville, FL 32611‐8105, USA
Abstract:I prove several natural preservation theorems for the countable support iteration. This solves a question of Ros?anowski regarding the preservation of localization properties and greatly simplifies the proofs in the area (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:n ‐localization property  weak Sacks property  countable support iterations  ergodic iteration theorem
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