Original Paper

Generating ultrafilters in a reasonable way

  1. Andrzej Rosłanowski,
  2. Saharon Shelah2,3

Article first published online: 7 MAR 2008

DOI: 10.1002/malq.200610055

Issue

Mathematical Logic Quarterly

Mathematical Logic Quarterly

Volume 54, Issue 2, pages 202–220, April 2008

Additional Information

How to Cite

Rosłanowski, A. and Shelah, S. (2008), Generating ultrafilters in a reasonable way. Mathematical Logic Quarterly, 54: 202–220. doi: 10.1002/malq.200610055

Author Information

  1. 2

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

  2. 3

    Department of Mathematics, Hill Center – Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA

Publication History

  1. Issue published online: 7 MAR 2008
  2. Article first published online: 7 MAR 2008
  3. Manuscript Accepted: 21 SEP 2007
  4. Manuscript Revised: 16 SEP 2007
  5. Manuscript Received: 23 JUL 2006

Funded by

  • United States-Israel Binational Science Foundation. Grant Number: 2002323

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Keywords:

  • Reasonable ultrafilter;
  • system of local filters;
  • uncountable cardinals;
  • generating a filter;
  • forcing

Abstract

We continue investigations of reasonable ultrafilters on uncountable cardinals defined in Shelah [8]. We introduce a general scheme of generating a filter on λ from filters on smaller sets and we investigate the combinatorics of objects obtained this way. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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