Infinite games and \(\sigma\)-porosity

DOI10.1007/s11856-016-1383-9zbMath1397.91103OpenAlexW2527230673MaRDI QIDQ502990

Miroslav Zelený, David Preiss, Martin Doležal

Publication date: 11 January 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://wrap.warwick.ac.uk/80464/7/WRAP-infinite-games-porosity-Preiss-2017.pdf

zbMATH Keywords

Souslin setsinfinite games\(\sigma\)-porosity

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Games involving topology, set theory, or logic (91A44)

Related Items (1)

Hypergraphs and proper forcing

Cites Work

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• On separable determination of \(\sigma\)-\(\mathbf P\)-porous sets in Banach spaces
• Porosity and \(\sigma\)-porosity
• Using determinacy to inscribe compact non-\(\sigma\)-porous sets into non-\(\sigma\)-porous projective sets
• Four and more
• On \(\sigma\)-porous sets in abstract spaces
• Characterization of σ-porosity via an infinite game
• Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces
• Contrasting Symmetric Porosity and Porosity
• Exceptional Sets for Universally Polygonally Approximable Functions
• Inscribing compact non-σ-porous sets into analytic non-σ-porous sets

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