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.References
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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