CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS

DOI10.1142/S0219061304000334zbMath1069.03039arXivmath/0205331MaRDI QIDQ4658679

Martin Goldstern, Menachem Kojman, Stefan Geschke

Publication date: 18 March 2005

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205331

zbMATH Keywords

consistencymetric spacesRamsey theoryreal functionsperfect graphscovering numberPolish spaceLipschitz functionsCantor spacetree forcingoptimal forcinghomogeneity numbercontinuous graph-structurescovering a plane by functionspair-coloring

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Consistency and independence results (03E35) Ramsey theory (05D10) Cardinal characteristics of the continuum (03E17)

Related Items (11)

The ultrafilter number and ⋮ Forcing with copies of the Rado and Henson graphs ⋮ Basis theorems for continuous \(n\)-colorings ⋮ Problems and results in extremal combinatorics. I. ⋮ Potential continuity of colorings ⋮ 2010 European Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '10 ⋮ A Sacks amoeba preserving distributivity of $\mathcal {P}(\omega )/\mathrm {fin}$ ⋮ A dual open coloring axiom ⋮ Low-distortion embeddings of infinite metric spaces into the real line ⋮ Hypergraphs and proper forcing ⋮ Tukey reductions of nowhere Ramsey to Silver null sets

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