The Collins-Roscoe structuring mechanism, \(D\)-spaces and related topics

DOI10.1016/J.TOPOL.2015.08.007zbMath1328.54019OpenAlexW1203298256MaRDI QIDQ500926

Ziqin Feng, John E. Porter

Publication date: 8 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.08.007

zbMATH Keywords

paracompact\(D\)-spacemeta-Lindelöf\(\omega_1\)-sheltering (F) space\(\sigma\)-sheltering (F) spaceCollins-Roscoe structuring mechanismpoint networktransitively \(D\)-space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10)

Related Items (6)

A study on \(D\)-spaces and the metrizability of compact spaces with property (\(\sigma \)-A) ⋮ The NZ property and \(D\)-spaces ⋮ Existence of nice weak bases implies the \(D\)-property ⋮ Predictable network, monotonic monolithicity and \(D\)-spaces ⋮ Unnamed Item ⋮ Some sufficiency conditions for \(D\)-spaces, dually discrete and its applications

Cites Work

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• On spaces which are \(D\), linearly \(D\) and transitively \(D\)
• Some properties of the Sorgenfrey line and related spaces
• Well-ordered (F) spaces are \(D\)-spaces
• Criteria for Metrisability
• A Lattice of Conditions on Topological Spaces
• A lattice of conditions on topological spaces II
• On the Product of Metacompact Spaces I. Connections with Hereditary Compactness
• Weak Covering Properties of Weak Topologies
• Hereditary D-property of function spaces over compacta
• A note on \(D\)-spaces

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