Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups

DOI10.1016/0022-4049(90)90129-6zbMath0718.03022OpenAlexW1999466430MaRDI QIDQ2639052

Paul Bankston

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(90)90129-6

zbMATH Keywords

compact Hausdorff spacescompact groupsfirst order model theoryultracoproducts

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Ultraproducts in functional analysis (46M07) Categorical methods in general topology (54B30) Compact groups (22C05) Ultraproducts and related constructions (03C20)

Related Items (4)

Model-Theoretic Characterizations of Arcs and Simple Closed Curves ⋮ Rings and sheaves ⋮ Co-elementary equivalence, co-elementary maps, and generalized arcs ⋮ A hierarchy of maps between compacta

Cites Work

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• Nonstandard hulls of Banach spaces
• Model theory
• Model-Theoretic Characterizations of Arcs and Simple Closed Curves
• Taxonomies of model-theoretically defined topological properties
• Expressive power in first order topology
• Reduced coproducts of compact Hausdorff spaces
• On ultracoproducts of compact hausdorff spaces
• Some Obstacles to Duality in Topological Algebra
• Application des ultraproduits à l'étude des espaces et des algèbres de Banach
• More on Compact Hausdorff Spaces and Finitary Duality
• Elementary properties of Abelian groups

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