On cardinalities of ultraproducts

DOI10.1090/S0002-9904-1964-11219-2zbMath0129.25805MaRDI QIDQ5338322

H. Jerome Keisler

Publication date: 1964

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

zbMATH Keywords

mathematical logic

Related Items (18)

Cardinality, saturation and finiteness ⋮ Ultrafilter translations. I: \((\lambda, \lambda)\)-compactness of logics with a cardinality quantifier ⋮ On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers ⋮ Keisler's order via Boolean ultrapowers ⋮ Rings of real-valued continuous functions. II ⋮ Descendingly Incomplete Ultrafilters ⋮ Limit ultrapowers and abstract logics ⋮ A result concerning cardinalities of ultraproducts ⋮ DENSE IDEALS AND CARDINAL ARITHMETIC ⋮ Nonregular ideals ⋮ More on regular and decomposable ultrafilters in ZFC ⋮ Every two elementarily equivalent models have isomorphic ultrapowers ⋮ Almost disjoint families and ultrapowers ⋮ The Cardinality of Reduced Power Set Algebras ⋮ Positive results in abstract model theory: a theory of compact logics ⋮ Limit ultraproducts ⋮ Ultraproducts of finite sets ⋮ Ultraproducts which are not saturated

Cites Work

• Unnamed Item
• Applications of ultraproducts of pairs of cardinals to the theory of models
• Ultraproducts in the theory of models
• Good ideals in fields of sets
• Reduced direct products
• Limit Ultrapowers

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