Van Douwen’s problem on 0-dimensional images of ordered compacta

DOI10.1090/S0002-9939-98-04404-9zbMath0885.54020MaRDI QIDQ4372752

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Publication date: 16 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Boolean algebrascontinuous imagedendron0-dimensional space\(T_ 0\)-separating familylinearly ordered compactumrank 1 family

Mathematics Subject Classification ID

Continuous maps (54C05) Compactness (54D30) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Base properties of topological spaces (54D70) Total orders (06A05)

Related Items (1)

Continuous images of linearly ordered continua and compacta

Cites Work

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• Pseudo-trees and Boolean algebras
• Orderability properties of a zero-dimensional space which is a continuous image of an ordered compactum
• "Image of a Hausdorff Arc" is Cyclically Extensible and Reducible

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