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Proper forcing and rectangular ramsey theorems

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Abstract

I prove forcing preservation theorems for products of definable partial orders preserving cofinality of the meager or null ideal. Rectangular Ramsey theorems for the related ideals follow from the proofs.

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Authors and Affiliations

  1. Department of Mathematics, University of Florida, Little Hall 358, 32611, Gainesville, FL, USA

    Jindřich Zapletal

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  1. Jindřich Zapletal
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Additional information

Partially supported by grant GA ČR 201-03-0933, NSF grants DMS 0071437 and DMS 0300201, and a visiting appointment at CRM, Universitat Autònoma de Barcelona.

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Zapletal, J. Proper forcing and rectangular ramsey theorems. Isr. J. Math. 152, 29–47 (2006). https://doi.org/10.1007/BF02771974

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  • DOI: https://doi.org/10.1007/BF02771974

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