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Universal forcing notions and ideals

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Abstract

Our main result states that a finite iteration of Universal Meager forcing notions adds generic filters for many forcing notions determined by universality parameters. We also give some results concerning cardinal characteristics of the σ-ideals determined by those universality parameters.

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Authors and Affiliations

  1. Department of Mathematics, University of Nebraska at Omaha, Omaha, NE, 68182-0243, USA

    Andrzej Rosłanowski

  2. Einstein Institute of Mathematics, Edmond J. Safra Campus, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel

    Saharon Shelah

  3. Department of Mathematics, Rutgers University, New Brunswick, NJ, 08854, USA

    Saharon Shelah

Authors
  1. Andrzej Rosłanowski
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  2. Saharon Shelah
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Corresponding author

Correspondence to Andrzej Rosłanowski.

Additional information

Both authors acknowledge support from the United States-Israel Binational Science Foundation (Grant no. 2002323). Also, we would like to thank the referee for valuable comments and suggestions concerning the exposition of the paper. This is publication 845 of the second author

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Rosłanowski, A., Shelah, S. Universal forcing notions and ideals. Arch. Math. Logic 46, 179–196 (2007). https://doi.org/10.1007/s00153-007-0037-3

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  • DOI: https://doi.org/10.1007/s00153-007-0037-3

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