On a metric generalization of Ramsey's theorem

DOI10.1007/BF02773803zbMath0884.05092OpenAlexW1990027735WikidataQ105741583 ScholiaQ105741583MaRDI QIDQ1376051

János Pach, Paul Erdős, Andras Hajnal

Publication date: 8 March 1998

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

Full work available at URL: https://doi.org/10.1007/bf02773803

zbMATH Keywords

Szemerédi's theorempartition calculusRamsey's theory

Mathematics Subject Classification ID

Ramsey theory (05D10)

Related Items

Independent finite sums for \(K_ m\)-free graphs, Two extensions of Ramsey's theorem, Independent Deuber sets in graphs on the natural numbers, Independent arithmetic progressions in clique-free graphs on the natural numbers

Cites Work

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• Finite sums from sequences within cells of a partition of N
• Some results and problems on set theory
• On sets of integers containing k elements in arithmetic progression
• A proof (involving Martin's axiom) of a partition relation