Constructing regular ultrafilters from a model-theoretic point of view

DOI10.1090/S0002-9947-2015-06303-XzbMath1387.03029arXiv1204.1481OpenAlexW2123635787MaRDI QIDQ2944929

Saharon Shelah, Maryanthe Malliaris

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1481

zbMATH Keywords

regular ultrafiltersKeisler's ordersaturation of ultrapowers

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Classification theory, stability, and related concepts in model theory (03C45) Ultraproducts and related constructions (03C20)

Related Items (14)

Cofinality spectrum theorems in model theory, set theory, and general topology ⋮ Cofinality spectrum problems: the axiomatic approach ⋮ Keisler's order has infinitely many classes ⋮ KEISLER’S ORDER IS NOT LINEAR, ASSUMING A SUPERCOMPACT ⋮ On cuts in ultraproducts of linear orders I ⋮ Using ultrapowers to compare continuous structures ⋮ Some simple theories from a Boolean algebra point of view ⋮ Open problems on ultrafilters and some connections to the continuum ⋮ Existence of optimal ultrafilters and the fundamental complexity of simple theories ⋮ Invariants related to the tree property ⋮ A dividing line within simple unstable theories ⋮ A new look at interpretability and saturation ⋮ ON CUTS IN ULTRAPRODUCTS OF LINEAR ORDERS II ⋮ A parallel to the null ideal for inaccessible \(\lambda\). I

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