Geometric Cardinal Invariants, Maximal Functions and a Measure Theoretic Pigeonhole Principle

DOI10.2178/bsl/1130335207zbMath1105.03049OpenAlexW2098371411MaRDI QIDQ5472643

Juris Steprāns

Publication date: 12 June 2006

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

Full work available at URL: https://doi.org/10.2178/bsl/1130335207

zbMATH Keywords

consistencynull setsboundedness of harmonic functionsmeasure-theoretic pigeonhole principleplanes in Euclidean 3-space

Mathematics Subject Classification ID

Integration with respect to measures and other set functions (28A25) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Cites Work

• Unnamed Item
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• Sets in a Euclidean space which are not a countable union of convex subsets
• Convex decompositions in the plane and continuous pair colorings of the irrationals
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• Maximal functions: Spherical means
• Packing planes in ℝ ³
• Decomposing Euclidean space with a small number of smooth sets
• Unions of rectifiable curves in Euclidean space and the covering number of the meagre ideal
• Convexity numbers of closed sets in ℝⁿ
• On a lattice problem of H. Steinhaus
• The subscript of ℵ_{𝑛} ,projective dimension, and the vanishing of lim_{←}⁽ⁿ⁾
• Sets meeting isometric copies of the lattice Z ² in exactly one point
• Cantor-Bendixson degrees and convexity in \(\mathbb{R}^2\)

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