Abstract
We show that if λ<κ = λ and every normal filter on Pκλ can be extended to a κ-complete ultrafilter, then so does every κ-complete filter on λ. This answers a question of Gitik.
Original language | American English |
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Pages (from-to) | 3129-3133 |
Number of pages | 5 |
Journal | Proceedings of the American Mathematical Society |
Volume | 148 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2020 |
Externally published | Yes |
Bibliographical note
Funding Information:Received by the editors August 30, 2019, and, in revised form, October 29, 2019, and November 4, 2019. 2010 Mathematics Subject Classification. Primary 03E20; Secondary 03E55. This research was partially supported by the FWF Lise Meitner grant, 2650-N35.
Publisher Copyright:
© 2020 American Mathematical Society.