Reduced coproducts of compact Hausdorff spaces

DOI10.2307/2274391zbMath0634.54007OpenAlexW2171361579MaRDI QIDQ3772897

Paul Bankston

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2307/2274391

zbMATH Keywords

direct limitcompact Hausdorff spacesultraproductfilterultrafilterreduced coproduct

Mathematics Subject Classification ID

Compactness (54D30) Categorical methods in general topology (54B30) Spectra in general topology (54B35) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (23)

The pseudoarc is a co-existentially closed continuum ⋮ Ultracoproduct continua and their regular subcontinua ⋮ Model-Theoretic Characterizations of Arcs and Simple Closed Curves ⋮ Co-elementary equivalence for compact Hausdorff spaces and compact abelian groups ⋮ On Productive Classes of Function Rings ⋮ Taxonomies of model-theoretically defined topological properties ⋮ On continuous images of ultra-arcs ⋮ Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras ⋮ K-theory of co-existentially closed continua ⋮ Covering Dimension of C*-Algebras and 2-Coloured Classification ⋮ AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS ⋮ Saturation and elementary equivalence of \(C^\ast\)-algebras ⋮ Co-elementary equivalence, co-elementary maps, and generalized arcs ⋮ On the first-order expressibility of lattice properties related to unicoherence in continua ⋮ Chainability and Hemmingsen's theorem ⋮ Banach spaces in various positions ⋮ A hierarchy of maps between compacta ⋮ Model theory of 𝐶*-algebras ⋮ \(\aleph\)-injective Banach spaces and \(\aleph\)-projective compacta ⋮ Model-theoretic properties of dynamics on the Cantor set ⋮ Quotient theorems via ultracoproducts ⋮ Obstacles to duality between classes of relational structures ⋮ The Chang-Łoś-Suszko theorem in a topological setting

Cites Work

• Unnamed Item
• On categories of algebras equivalent to a variety
• Obstacles to duality between classes of relational structures
• Nonstandard hulls of Banach spaces
• Categorial characterization of the MacNeille completion
• ON LATTICES OF CONTINUOUS FUNCTIONS
• Expressive power in first order topology
• Some Obstacles to Duality in Topological Algebra
• The Duality BetweenM-Spaces and Compact Hausdorff Spaces
• Topological reduced products via good ultrafilters
• On “Ultraproducts in topology”
• More on Compact Hausdorff Spaces and Finitary Duality

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