Team games, hypergraph spaces, and projective Boolean algebras

DOI10.1016/j.topol.2022.108291OpenAlexW4303438468MaRDI QIDQ2105052

David Milovich

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/1607.07944

zbMATH Keywords

Boolean algebraDugundji spaceCohen algebraprojectiveopen-open gameteam gameDavies treefreese-nation propertyI-favorabletightly \(\kappa\)-filtereduncoordinated strategy

Mathematics Subject Classification ID

Classical propositional logic (03B05) Applications of set theory (03E75) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Structure theory of Boolean algebras (06E05)

Cites Work

• On the strong Freese-Nation property
• Very I-favorable spaces
• Projective lattices
• Nearly projective Boolean algebras
• Semi-Cohen Boolean algebras
• On tightly \(\kappa \)-filtered Boolean algebras.
• Partial orderings with the weak Freese-Nation property
• ON $ \kappa$-METRIZABLE SPACE
• Functors and uncountable powers of compacta
• On a problem of Pełczyński: Milutin spaces, Dugundji spaces and AE(0-dim)
• TOPOLOGY OF LIMIT SPACES OF UNCOUNTABLE INVERSE SPECTRA
• Covering the Plane with Denumerably Many Curves
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