On countably uniform closed-spaces

DOI10.2989/16073606.2018.1476415zbMath1422.54017OpenAlexW2885387632MaRDI QIDQ4967279

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Publication date: 3 July 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1476415

zbMATH Keywords

\(CP\)-spacequasi-componentfunctionally countable subalgebra\(C_c\)-embedded\(c\)-pseudocompact space\(C^*_c\)-embedded\(CUC\)-space\(Z_c\)-embedded

Mathematics Subject Classification ID

Continuous maps (54C05) Algebraic properties of function spaces in general topology (54C40) (C)- and (C^*)-embedding (54C45) Real-valued functions in general topology (54C30) Lattices over orders (16H20)

Related Items (4)

Ordered field valued continuous functions with countable range ⋮ Closed ideals in the functionally countable subalgebra of C(X) ⋮ Depth of C ( X )-modules ⋮ Unnamed Item

Cites Work

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• On the functionally countable subalgebra of \(C(X)\)
• On maximal ideals of \(C_c(X)\) and the uniformity of its localizations
• \(C(X)\) versus its functionally countable subalgebra
• Extensions of zero-sets and of real-valued functions
• The classical ring of quotients of $C_c(X)$
• On the structure of a class of archimedean lattice-ordered algebras
• Normal P-spaces and the $G_δ $-topology
• The countable chain condition versus separability - applications of Martin's Axiom
• On c-realcompact spaces
• Inversion in a class of lattice-ordered algebras

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