General approach to characterizations of \(C(X)\)

DOI10.1016/J.TOPOL.2011.04.035zbMath1244.54044OpenAlexW2030753865MaRDI QIDQ408571

Antonio Pulgarín, Miroslav Hušek

Publication date: 10 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.04.035

zbMATH Keywords

latticecategorycharacterization of \(C(X)\)real-valued continuous functions

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Algebraic properties of function spaces in general topology (54C40) Special categories (18B99)

Related Items (1)

On characterizing Riesz spaces \(C(X)\) without Yosida representation

Cites Work

• \(C(X)\)-objects in the category of semi-affine lattices
• \(C(X)\) as a lattice: a generalized problem of Birkhoff and Kaplansky
• Characterizations of certain lattices of functions
• Representations of distributive lattices as lattices of functions
• \(C(X)\) as a real \(\ell \)-group
• Approximation in Systems of Real-Valued Continuous Functions
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