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.
Bibliographical noteFunding 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.
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