A characterization of the Menger property by means of ultrafilter convergence

DOI10.1016/j.topol.2013.07.044zbMath1341.54009arXiv1210.2118OpenAlexW2052854127MaRDI QIDQ386878

Paolo Lipparini

Publication date: 11 December 2013

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

Full work available at URL: https://arxiv.org/abs/1210.2118

zbMATH Keywords

productcovering propertylimit pointultrafilter convergenceMenger propertyRothberger property

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) Other combinatorial set theory (03E05)

Related Items

Compactness of ω^λ for λ singular ⋮ Products of topological spaces and families of filters ⋮ Topological spaces compact with respect to a set of filters

Cites Work

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• More generalizations of pseudocompactness
• Strong \(\gamma\)-sets and other singular spaces
• Compact factors in finally compact products of topological spaces
• Some applications of ultrafilters in topology
• Combinatorics of open covers. I: Ramsey theory
• Some covering properties in topological and uniform spaces
• More on regular and decomposable ultrafilters in ZFC
• Ultrafilter Invariants in Topological Spaces
• A very general covering property
• Some compactness properties related to pseudocompactness and ultrafilter convergence
• A new kind of compactness for topological spaces
• Non-standard analysis

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