Galvin’s problem in higher dimensions

DOI10.1090/PROC/16386OpenAlexW4313204017MaRDI QIDQ5889762

Stevo Todorčević, Dilip Raghavan

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2204.01799

zbMATH Keywords

rationalspartition calculusRamsey degreestrong coloring

Mathematics Subject Classification ID

Large cardinals (03E55) Special maps on metric spaces (54E40) Generalized Ramsey theory (05C55) Ramsey theory (05D10) Partition relations (03E02)

Cites Work

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• Combinatorial set theory: Partition relations for cardinals
• Partition relations for countable topological spaces
• Partitioning pairs of countable ordinals
• Oscillations of sets of integers
• Big Ramsey degrees and topological dynamics
• A combinatorial property of rho-functions
• Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups
• Structural Ramsey theory of metric spaces and topological dynamics of isometry groups
• Introduction to Ramsey Spaces (AM-174)
• Proof of a conjecture of Galvin
• Sur une caractérisation des alephs

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