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On weakly precipitous filters

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Abstract

We answer a question of T. Jech, showing that (1) there may exist weakly precipitous filters inL, and (2) there may exist a weakly precipitous filter on ω1 in a set-generic extension ofL. Hence, the existence of a weakly precipitous filter on ω1 does not imply the existence of 0#.

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Authors and Affiliations

  1. Mathematishes Institut, Freie Universität, Arnimallee 3, 1000, Berlin, 33, FRG

    Hans-Dieter Donder & Jean-Pierre Levinski

  2. Department of Mathematics, Dartmouth College, Bradley Hall, 03755, Hanover, NH, USA

    Hans-Dieter Donder & Jean-Pierre Levinski

Authors
  1. Hans-Dieter Donder
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  2. Jean-Pierre Levinski
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Donder, HD., Levinski, JP. On weakly precipitous filters. Israel J. Math. 67, 225–242 (1989). https://doi.org/10.1007/BF02937297

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  • DOI: https://doi.org/10.1007/BF02937297

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