A note on the normal filters extension property

Yair Hayut*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We show that if λ = 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 languageAmerican English
Pages (from-to)3129-3133
Number of pages5
JournalProceedings of the American Mathematical Society
Issue number7
StatePublished - Jul 2020
Externally publishedYes

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.


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