A note on monotonically metacompact spaces

DOI10.1016/J.TOPOL.2009.10.004zbMath1184.54023arXiv0910.4106OpenAlexW2159915746MaRDI QIDQ1044877

Klaas Pieter Hart, Harold R. Bennett, David J. Lutzer

Publication date: 15 December 2009

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

Full work available at URL: https://arxiv.org/abs/0910.4106

zbMATH Keywords

metrizableGO-spaceLOTSmonotonically countably metacompactmonotonically metacompactmetacompactcountably metacompactgeneralized ordered spacemetacompact Moore space\(\sigma \)-closed-discrete dense set

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Moore spaces (54E30)

Related Items (16)

A study on \(D\)-spaces and the metrizability of compact spaces with property (\(\sigma \)-A) ⋮ Notes on monotonically metacompact generalized ordered spaces ⋮ Monotone covering properties and properties they imply ⋮ A note on base-paracompact and monotone base-covering properties ⋮ On (monotonically) metacompact subspaces of GO-spaces and related conclusions ⋮ Unnamed Item ⋮ Existence of nice weak bases implies the \(D\)-property ⋮ The Big Bush machine ⋮ A characterization of monotonically Lindelöf generalized ordered spaces ⋮ The D-property of monotone covering properties and related conclusions ⋮ Monotone covering properties defined by closure-preserving operators ⋮ On monotone paracompactness ⋮ Monotone properties defined from stars of open coverings ⋮ On the metrization of PIGO spaces ⋮ A note on monotone covering properties ⋮ A study on monotonically metacompact and property \((A)((B))\)

Cites Work

• The Big Bush machine
• The monotone Lindelöf property and separability in ordered spaces
• On dense subspaces of generalized ordered spaces
• Monotone countable paracompactness
• On a question of Maarten Maurice
• On stratifiable spaces
• Spaces defined by sequences of open covers which guarantee that certain sequences have cluster points
• Paracompactness in ordered spaces
• Countable Paracompactness in Linearly Ordered Spaces
• Monotone normality
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