Convexity numbers of closed sets in ℝⁿ

DOI10.1090/S0002-9939-02-06437-7zbMath0993.03058OpenAlexW1505849144MaRDI QIDQ4536050

Menachem Kojman, Stefan Geschke

Publication date: 17 June 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06437-7

zbMATH Keywords

covering numberforcing extensionconvexity numbercardinal invariants of the continuumconvex cover\(n\)-space

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17)

Related Items (8)

Analytic colorings ⋮ Evasion and prediction. V: Unsymmetric game ideals, constant prediction, and strong porosity ideals ⋮ More on convexity numbers of closed sets in ℝⁿ ⋮ CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS ⋮ A dual open coloring axiom ⋮ Low-distortion embeddings of infinite metric spaces into the real line ⋮ Geometric Cardinal Invariants, Maximal Functions and a Measure Theoretic Pigeonhole Principle ⋮ n–localization property

Cites Work

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• Many simple cardinal invariants
• Convex decompositions in the plane and continuous pair colorings of the irrationals
• The covering numbers of Mycielski ideals are all equal
• Decomposing Euclidean space with a small number of smooth sets
• ISOLATING CARDINAL INVARIANTS
• The Ideal Determined by the Unsymmetric Game
• Multiple Forcing

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