Model-Theoretic Characterizations of Arcs and Simple Closed Curves

DOI10.2307/2046813zbMath0691.03017OpenAlexW4246647817MaRDI QIDQ3032235

Paul Bankston

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046813

zbMATH Keywords

arcultrapowerscompact Hausdorff spacessimple closed curveco-elementarily equivalentlocally connected compact metrizable space

Mathematics Subject Classification ID

Continua and generalizations (54F15) Metric spaces, metrizability (54E35) Topological characterizations of particular spaces (54F65) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Connected and locally connected spaces (general aspects) (54D05) Spectra in general topology (54B35) Ultraproducts and related constructions (03C20) Models of other mathematical theories (03C65)

Related Items

Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups ⋮ Co-elementary equivalence, co-elementary maps, and generalized arcs ⋮ The Chang-Łoś-Suszko theorem in a topological setting

Cites Work

• Nonstandard hulls of Banach spaces
• Model theory
• Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups
• 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
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