C-scattered and paracompact spaces

DOI10.4064/fm-73-1-59-74zbMath0226.54018OpenAlexW1005071214MaRDI QIDQ5633254

Rastislav Telgársky

Publication date: 1971

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/214394

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Scattered spaces (54G12)

Related Items (41)

Base-paracompact spaces. ⋮ Countable Products of Čech-scattered supercomplete spaces ⋮ Closure-preserving covers by small sets ⋮ On supercomplete uniform spaces. II ⋮ Theorems on strong paracompactness of product spaces ⋮ Submetacompactness and weak submetacompactness in countable products ⋮ A Singular Space Related to the Point-Open Game ⋮ $\alpha$-paracompact subsets and well-situated subsets ⋮ New types of winning strategies via compact spaces ⋮ Productivity of paracompactness in the class of GO-spaces ⋮ A note on \(D\)-property, monotone monolithicity and \(\sigma\)-product ⋮ A note on products of (weakly) discretely generated spaces ⋮ Some thoughts on countable Lindelöf products ⋮ On the \(D\)-property of certain products ⋮ On finite unions and finite products with the D-property ⋮ \(C\)-scattered type and minimal compactifications with countable remainder ⋮ On rectangular products of topological spaces ⋮ Every monotonically normal Čech-complete space is subcompact ⋮ Another note on the class of paracompact spaces whose product with every paracompact space is paracompact ⋮ The \(D\)-property which relates to certain covering properties ⋮ A note on the Menger (Rothberger) property and topological games ⋮ Linearly ordered covers, normality and paracompactness ⋮ About \(\mathbf{DK}\)-like spaces and some applications. ⋮ Order-Cushioned Refinements and Normality ⋮ Noetherian type in topological products ⋮ Countable products of absolute \(C_ \delta\) spaces ⋮ On linear neighborhood assignments and dually discrete spaces ⋮ On finite unions of certain \(D\)-spaces ⋮ Paracompactness and the Lindelöf property in countable products ⋮ \(C\)-scattered fuzzy topological spaces ⋮ If \(X\) is \(\sigma\)-compact Polish, then \(C_{k}\)(\(X\)) has a \(\sigma\)-closure-preserving base ⋮ On the class of \(\omega _{1}\)-metrizable spaces whose product with every paracompact space is paracompact ⋮ A study on monotonically metacompact and property \((A)((B))\) ⋮ A note on the class of paracompact spaces whose product with every paracompact space is paracompact ⋮ A filter property of submetacompactness and its application to products ⋮ On some ultraparacompact spaces ⋮ On monotonically normal and transitively (linearly) dually discrete spaces ⋮ On spaces which are \(D\), linearly \(D\) and transitively \(D\) ⋮ On sieve-complete and compact-like spaces ⋮ \(\varSigma\)-products of paracompact \(C\)-scattered spaces ⋮ The locally fine coreflection and normal covers in the products of partition-complete spaces

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