Compactness of Powers of ω

DOI10.4064/ba61-3-5zbMath1298.54009arXiv1302.4763OpenAlexW3123554785MaRDI QIDQ5403101

Paolo Lipparini

Publication date: 25 March 2014

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4763

zbMATH Keywords

ultrafilter convergenceweakly compact cardinaluniform ultrafilterinfinitary language(finally) compact topological space\(\lambda\)-nonstandard elementpowers of omega

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Other combinatorial set theory (03E05) Ultraproducts and related constructions (03C20) Other infinitary logic (03C75)

Related Items (3)

Compactness of ω^λ for λ singular ⋮ Topological spaces compact with respect to a set of filters ⋮ Equalities for the extent of infinite products and \(\varSigma\)-products

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