\(C(X)\) as a lattice: a generalized problem of Birkhoff and Kaplansky

DOI10.1016/J.TOPOL.2011.01.009zbMath1227.46020OpenAlexW2028376699MaRDI QIDQ536042

Antonio Pulgarín, Miroslav Hušek

Publication date: 16 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.01.009

zbMATH Keywords

separating\(C^*\)-lattice2-completelinkedsemi-simple

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

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

Cites Work

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• Riesz spaces of real continuous functions
• A characterization of function-lattices
• Characterizations of certain lattices of functions
• Representations of distributive lattices as lattices of functions
• Zero-separating algebras of continuous functions
• \(C(X)\) as a real \(\ell \)-group
• The order topology for function lattices and realcompactness
• Characterizations of some function lattices
• Approximation in Systems of Real-Valued Continuous Functions
• A Note on Complete Separation in the Stone Topology
• Lattices of Continuous Functions II

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