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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on the normal filters extension property
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by Yair Hayut PDF
Proc. Amer. Math. Soc. 148 (2020), 3129-3133 Request permission

Abstract:

We show that if $\lambda ^{<\kappa } = \lambda$ and every normal filter on $P_\kappa \lambda$ can be extended to a $\kappa$-complete ultrafilter, then so does every $\kappa$-complete filter on $\lambda$. This answers a question of Gitik.
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Additional Information
  • Yair Hayut
  • Affiliation: Kurt Gödel Research Center, Institut für Mathematik, Universität Wien, Wien 1020, Austria
  • MR Author ID: 1157719
  • Email: yair.hayut@univie.ac.at
  • Received by editor(s): August 30, 2019
  • Received by editor(s) in revised form: October 29, 2019, and November 4, 2019
  • Published electronically: March 18, 2020
  • Additional Notes: This research was partially supported by the FWF Lise Meitner grant, 2650-N35
  • Communicated by: Heike Mildenberger
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 3129-3133
  • MSC (2010): Primary 03E20; Secondary 03E55
  • DOI: https://doi.org/10.1090/proc/14939
  • MathSciNet review: 4099798