On cuts in ultraproducts of linear orders II

Mohammad Golshani, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)29-39
Number of pages11
JournalJournal of Symbolic Logic
Volume83
Issue number1
DOIs
StatePublished - 1 Mar 2018
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2018 The Association for Symbolic Logic.

Keywords

  • cuts
  • saturated linear product
  • ultraproduct

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