Limit Ultrapowers

DOI10.2307/1993808zbMath0122.24504OpenAlexW4235906042MaRDI QIDQ5734417

H. Jerome Keisler

Publication date: 1963

Full work available at URL: https://doi.org/10.2307/1993808

zbMATH Keywords

mathematical logic

Related Items

Isomorphic limit ultrapowers for infinitary logic ⋮ On cardinalities of ultraproducts ⋮ Rings of real-valued continuous functions. II ⋮ Hyper-power series and generalized real analytic functions ⋮ Representations of algebras in varieties generated by infinite primal algebras. ⋮ An integer construction of infinitesimals: toward a theory of eudoxus hyperreals ⋮ Models of arithmetic and recursive functions ⋮ Adequate Ultrafilters of Special Boolean Algebras ⋮ Polynomial time ultrapowers and the consistency of circuit lower bounds ⋮ Comparative expectations ⋮ On structures defined by mapping filters ⋮ Every two elementarily equivalent models have isomorphic ultrapowers ⋮ For what filters is every reduced product saturated? ⋮ \(\aleph_0\)-categoricity of two-sorted structures ⋮ Randomizing a model ⋮ On products of structures for generalized logics ⋮ Positive results in abstract model theory: a theory of compact logics ⋮ Nonregular Ultrafilters and Large Cardinals ⋮ Boolean ultrapowers ⋮ Minimal elementary extensions of models of set theory and arithmetic ⋮ A simple proof of the Rabin-Keisler theorem

Cites Work

• Ultraproducts in the theory of models
• On closure under direct product
• Reduced direct products
• Über unerreichbare Kardinalzahlen
• The completeness of the first-order functional calculus
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