On cuts in ultraproducts of linear orders I

DOI10.1142/S0219061316500082zbMath1380.03036arXiv1510.06278OpenAlexW2963899162MaRDI QIDQ2951899

Mohammad Golshani, Saharon Shelah

Publication date: 10 January 2017

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06278

zbMATH Keywords

ultraproductcutssaturated linear orders

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Ultraproducts and related constructions (03C20) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (2)

Open problems on ultrafilters and some connections to the continuum ⋮ ON CUTS IN ULTRAPRODUCTS OF LINEAR ORDERS II

Cites Work

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• Depth of Boolean algebras
• Combinatorial set theory: Partition relations for cardinals
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• MODEL-THEORETIC PROPERTIES OF ULTRAFILTERS BUILT BY INDEPENDENT FAMILIES OF FUNCTIONS
• Constructing regular ultrafilters from a model-theoretic point of view
• Cofinality spectrum theorems in model theory, set theory, and general topology

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