Some compactness properties related to pseudocompactness and ultrafilter convergence

zbMath1266.54008arXiv0907.0602MaRDI QIDQ4907405

Paolo Lipparini

Publication date: 1 February 2013

Full work available at URL: https://arxiv.org/abs/0907.0602

zbMATH Keywords

pseudocompactness\(D\)-pseudocompactnessultrafilter convergencefamily of subsets of a topological spacecomplete accumulation point\([\mu\(CAP_\lambda\)\(D\)-limit point\lambda\)-compactness]productivity of compactness

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (7)

Ultrafilter convergence in ordered topological spaces ⋮ Compactness of ω^λ for λ singular ⋮ A characterization of the Menger property by means of ultrafilter convergence ⋮ Topological spaces compact with respect to a set of filters ⋮ More generalizations of pseudocompactness ⋮ Every weakly initially m-compact topological space is mPCAP ⋮ Ordinal compactness

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