On cuts in ultraproducts of linear orders i

Mohammad Golshani; Saharon Shelah

doi:10.1142/S0219061316500082

On cuts in ultraproducts of linear orders i

Mohammad Golshani
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

For an ultrafilter D on a cardinal κ, we wonder for which pair (θ₁, θ₂) of regular cardinals, we have: for any (θ₁ + θ₂)+-saturated dense linear order J, J^κ/D has a cut of cofinality (θ₁, θ₂). We deal mainly with the case θ₁, θ₂ > 2^κ.

Original language	English
Article number	1650008
Journal	Journal of Mathematical Logic
Volume	16
Issue number	2
DOIs	https://doi.org/10.1142/S0219061316500082
State	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016 World Scientific Publishing Company.

Keywords

Ultraproduct
cuts
saturated linear orders

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10.1142/S0219061316500082

Cite this

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On cuts in ultraproducts of linear orders i

Abstract

Bibliographical note

Keywords

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