A hierarchy of maps between compacta

DOI10.2307/2586802zbMath0962.03024arXivmath/9704205OpenAlexW2109826507MaRDI QIDQ4948532

Paul Bankston

Publication date: 4 June 2001

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

Full work available at URL: https://arxiv.org/abs/math/9704205

zbMATH Keywords

continuumultraproductinverse systemcompactumultracoproductlimit mapsco-existential mapcategory of compact Hausdorff spaces and continuous mapsco-elementarymap of level \(\geq \alpha\)

Mathematics Subject Classification ID

Continua and generalizations (54F15) Compactness (54D30) Unicoherence, multicoherence (54F55) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Dimension theory in general topology (54F45) Spectra in general topology (54B35) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Ultraproducts and related constructions (03C20)

Related Items (6)

The pseudoarc is a co-existentially closed continuum ⋮ On continuous images of ultra-arcs ⋮ K-theory of co-existentially closed continua ⋮ AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS ⋮ On the first-order expressibility of lattice properties related to unicoherence in continua ⋮ The Chang-Łoś-Suszko theorem in a topological setting

Cites Work

• Nonstandard hulls of Banach spaces
• Every two elementarily equivalent models have isomorphic ultrapowers
• Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups
• Lattices and topological spaces
• Reduced coproducts of compact Hausdorff spaces
• Co-elementary equivalence, co-elementary maps, and generalized arcs
• More on Compact Hausdorff Spaces and Finitary Duality
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