On cuts in ultraproducts of linear orders II

Mohammad Golshani; Saharon Shelah

doi:10.1017/jsl.2017.87

On cuts in ultraproducts of linear orders II

Mohammad Golshani
, Saharon Shelah

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	29-39
Number of pages	11
Journal	Journal of Symbolic Logic
Volume	83
Issue number	1
DOIs	https://doi.org/10.1017/jsl.2017.87
State	Published - 1 Mar 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 The Association for Symbolic Logic.

Keywords

cuts
saturated linear product
ultraproduct

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10.1017/jsl.2017.87

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On cuts in ultraproducts of linear orders II

Abstract

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Keywords

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