Arhangelskii's $\alpha$-principles and selection games

zbMath1462.54007arXiv1911.02627MaRDI QIDQ5148095

Steven Clontz

Publication date: 29 January 2021

Full work available at URL: https://arxiv.org/abs/1911.02627

zbMATH Keywords

selection principleselection game\(\alpha_i\)-property

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Cites Work

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• Resolvability: A selective survey and some new results
• The sequence selection properties of \(C_p(X)\)
• Selection principles related to \(\alpha\)-properties
• The product of \(<\alpha _ i>\)-spaces
• Subsets of \({}^ \omega\omega\) and the Fréchet-Urysohn and \(\alpha_ i\)-properties
• Combinatorics of open covers. I: Ramsey theory
• Dual selection games
• Two Classes of Frechet-Urysohn Spaces
• A sequential property of $\mathsf {C}_p(X)$ and a covering property of Hurewicz

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