Abstract
We continue our study of the class C(D), where D is a uniform ultrafilter on a cardinal κ and C(D) is the class of all pairs (θ1, θ2), where (θ1, θ2) is the cofinality of a cut in Jκ/D and J is some (θ1 + θ2)+-saturated dense linear order. We give a combinatorial characterization of the class C(D). We also show that if (θ1, θ2) ∈ C(D) and D is α1-complete or θ1 + θ2 > 2κ, then θ1 = θ2.
Original language | English |
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Pages (from-to) | 29-39 |
Number of pages | 11 |
Journal | Journal of Symbolic Logic |
Volume | 83 |
Issue number | 1 |
DOIs | |
State | Published - 1 Mar 2018 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018 The Association for Symbolic Logic.
Keywords
- cuts
- saturated linear product
- ultraproduct