Applications of a Set-Theoretic Lemma

DOI10.2307/2045168zbMath0547.54015OpenAlexW4248461387WikidataQ124849316 ScholiaQ124849316MaRDI QIDQ3338916

Gary Gruenhage

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045168

zbMATH Keywords

scattered spacescoloring numbergame characterizationsnormal, locally compact, metacompact spacespoint- countable collection of open, compact scattered subsetspoint-finite clopen refinement

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Coloring of graphs and hypergraphs (05C15) Special properties of topological spaces (54F99)

Related Items (5)

On collectionwise Hausdorffness in countably paracompact, locally compact spaces ⋮ Gary Gruenhage ⋮ The bi-compact-open topology on \(C(X)\) ⋮ When countably paracompact, locally compact, screenable spaces are paracompact ⋮ Covering properties on \(X^ 2\setminus \Delta \), \(W\)-sets, and compact subsets of \(\Sigma\)-products

Cites Work

• Spaces determined by point-countable covers
• Normal, Locally Compact, Boundedly Metacompact Spaces are Paracompact: an Application of Pixley-Roy Spaces
• Locally Compact Normal Spaces in the Constructible Universe
• The countable chain condition versus separability - applications of Martin's Axiom
• Some remarks on Eberlein compacts
• On the Existence of Normal Metacompact Moore Spaces which are not Metrizable
• On chromatic number of graphs and set-systems
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