Non-isomorphic hyper-real fields from non-isomorphic ultrapowers

DOI10.1007/BF01214984zbMath0474.54003MaRDI QIDQ1158854

Judith Roitman

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173220

zbMATH Keywords

gapultrapowerCohen realhyper-real fieldslambda-saturated orderpairwise non-isomorphic H-fields

Mathematics Subject Classification ID

Consistency and independence results (03E35) Consistency and independence results in general topology (54A35) Other combinatorial set theory (03E05)

Related Items (11)

The Glicksberg theorem for Tychonoff extension properties ⋮ On the cofinality of ultrapowers ⋮ Countable ultraproducts without CH ⋮ Some set-theory, Stone-Čech, and \(F\)-spaces ⋮ On indecomposable subcontinua of \(\beta{}[0,\infty{})-[0,\infty{})\) ⋮ A purely algebraic characterization of the hyperreal numbers ⋮ Asymptotic Cones and Ultrapowers of Lie Groups ⋮ Asymptotic cones of finitely presented groups ⋮ On the Generic Existence of Special Ultrafilters ⋮ Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Model theory
• An isomorphism theorem for real-closed fields

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