Cardinal invariants of monotone and porous sets

DOI10.2178/jsl/1327068697zbMath1245.28003OpenAlexW2026848877MaRDI QIDQ5388724

Michael Hrušák, Ondřej Zindulka

Publication date: 19 April 2012

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jsl/1327068697

zbMATH Keywords

cardinal invariants\(sigma\)--porus\(sigma\)-monotone

Mathematics Subject Classification ID

Descriptive set theory (03E15) Length, area, volume, other geometric measure theory (28A75) Consistency and independence results (03E35) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Cardinal characteristics of the continuum (03E17)

Related Items (4)

Evasion and prediction. V: Unsymmetric game ideals, constant prediction, and strong porosity ideals ⋮ Ramsey partitions of metric spaces ⋮ Properties of functions with monotone graphs ⋮ A Cantor set in the plane and its monotone subsets

Cites Work

• Porous sets and additivity of Lebesgue measure
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Porosity and \(\sigma\)-porosity
• Monotone metric spaces
• Using determinacy to inscribe compact non-\(\sigma\)-porous sets into non-\(\sigma\)-porous projective sets
• Inscribing closed non-\(\sigma\)-lower porous sets into Suslin non-\(\sigma\)-lower porous sets
• On \(\sigma\)-porous sets in abstract spaces
• An absolutely continuous function with non-\(\sigma\)-porous graph
• A Cantor set in the plane that is not σ-monotone
• On the Minkowski Dimension of Strongly Porous Fractal Sets in R ⁿ
• Asymptotically sharp dimension estimates for $k$-porous sets
• Preserving P-points in definable forcing
• Distribution of Sets and Measures Along Planes
• Inscribing compact non-σ-porous sets into analytic non-σ-porous sets
• The additivity of porosity ideals

This page was built for publication: Cardinal invariants of monotone and porous sets