Abstract
We force the existence of a non-trivial κ-complete ultrafilter over κ which fails to satisfy the Galvin property. This answers a question asked by Benhamou and Gitik [Ann. Pure Appl. Logic 173 (2022), Paper No. 103107].
Original language | English |
---|---|
Pages (from-to) | 1301-1309 |
Number of pages | 9 |
Journal | Proceedings of the American Mathematical Society |
Volume | 151 |
Issue number | 3 |
DOIs | |
State | Published - 1 Mar 2023 |
Bibliographical note
Publisher Copyright:© 2022 American Mathematical Society.
Keywords
- The Galvin property
- slim Kurepa trees
- supercompactness