Compactness properties defined by open-point games

DOI10.1016/J.TOPOL.2020.107196zbMath1456.54009arXiv1906.02857OpenAlexW3015475150MaRDI QIDQ2216573

Dmitrij B. Shakhmatov, Alejandro Dorantes-Aldama

Publication date: 16 December 2020

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

Full work available at URL: https://arxiv.org/abs/1906.02857

zbMATH Keywords

topological gamecountable compactnessconvergence propertywinning strategysequential compactnessstationary winning strategyvan Douwen MAD family

Mathematics Subject Classification ID

Compactness (54D30) Games involving topology, set theory, or logic (91A44) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Counterexamples in general topology (54G20) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items (1)

A point-picking game

Cites Work

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• There is a Van Douwen MAD family
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