Reprint of: ``Compactness properties defined by open-point games
DOI10.1016/j.topol.2020.107416zbMath1454.54013OpenAlexW3096612247MaRDI QIDQ2217256
Dmitrij B. Shakhmatov, Alejandro Dorantes-Aldama
Publication date: 29 December 2020
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2020.107416
topological gamecountable compactnessconvergence propertywinning strategysequential compactnessstationary winning strategyVan Douwen MAD family
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)
Cites Work
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- A pseudocompact group which is not strongly pseudocompact
- Selective sequential pseudocompactness
- Group-valued continuous functions with the topology of pointwise convergence
- Selectively sequentially pseudocompact group topologies on torsion and torsion-free abelian groups
- There is a Van Douwen MAD family
- Spaces with Dense Conditionally Compact Subsets
- A new kind of compactness for topological spaces