Convex decompositions in the plane and continuous pair colorings of the irrationals

DOI10.1007/BF02785863zbMath1021.52001OpenAlexW2072707562MaRDI QIDQ1852729

Wiesław Kubiś, Stefan Geschke, Menachem Kojman, Rene Schipperus

Publication date: 12 October 2003

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

Full work available at URL: https://doi.org/10.1007/bf02785863

zbMATH Keywords

irrational numbersconvex decompositionnonconvex setpair coloring

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (16)

The ultrafilter number and ⋮ Convexity numbers of closed sets in ℝⁿ ⋮ Analytic colorings ⋮ Basis theorems for continuous \(n\)-colorings ⋮ Convex decompositions and the valence of some functions ⋮ Potential continuity of colorings ⋮ 2010 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '10 ⋮ 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 ⋮ Weak Borel chromatic numbers ⋮ Geometric Cardinal Invariants, Maximal Functions and a Measure Theoretic Pigeonhole Principle ⋮ Tukey reductions of nowhere Ramsey to Silver null sets ⋮ On $(1,\omega _{1})$-weakly universal functions ⋮ n–localization property ⋮ Perfect cliques and $G_\delta $ colorings of Polish spaces

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