Order intervals in $C(K)$. Compactness, coincidence of topologies, metrizability

DOI10.14712/1213-7243.2022.006OpenAlexW4320725581MaRDI QIDQ5878467

Zbigniew Lipecki

Publication date: 21 February 2023

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2022.006

zbMATH Keywords

Čech-Stone compactificationmetrizableorder intervalweakly compactscatteredstrongly compactcoincidence of topologieslocally solidBanach lattice \(C(K)\)pointwise compactreal linear lattice

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Banach lattices (46B42) Lattices of continuous, differentiable or analytic functions (46E05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

Compactness of order intervals in a locally solid linear lattice ⋮ Cardinality of order intervals in linear lattices and of their sets of extreme points

Cites Work

• Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
• Compactness of order intervals in a locally solid linear lattice
• Order intervals in Banach lattices and their extreme points
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