Elementary equivalence of Cσ(K) spaces for totally disconnected, compact Hausdorff K

DOI10.2307/2273950zbMath0596.03064OpenAlexW2121686470MaRDI QIDQ3727995

L. C. jun. Moore, C. Ward Henson, Stefan Heinrich

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/2273950

zbMATH Keywords

totally disconnected compact Hausdorff spaceBanach ultrapowersapproximate elementary equivalence between Banach spacesBoolean algebra of clopen subsetsdistinguished ultrafilterinvolution with unique fixed pointTarski-Ershov invariants

Mathematics Subject Classification ID

Model theory (03C99) Banach spaces of continuous, differentiable or analytic functions (46E15) Nonstandard models in mathematics (03H05) Nonstandard functional analysis (46S20)

Cites Work

• Unnamed Item
• The first order theory of Boolean algebras with a distinguished group of automorphisms
• Nonstandard hulls of Banach spaces
• Uniform equivalence between Banach spaces

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