An infinitary polynomial van der Waerden theorem

DOI10.1006/jcta.1998.2932zbMath0929.05085OpenAlexW1967816539MaRDI QIDQ1291118

Randall McCutcheon

Publication date: 20 July 1999

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/60e37523a780a9571185b2f38cd13cde7676c7c4

zbMATH Keywords

van der Waerden theoremcolorings of semigroupsinfinitary Ramsey theory

Mathematics Subject Classification ID

Ramsey theory (05D10)

Related Items (6)

Idempotent ultrafilters, multipleweak mixing and Szemerédi's theorem for generalized polynomials ⋮ New polynomial and multidimensional extensions of classical partition results ⋮ A concentration function estimate and intersective sets from matrices ⋮ An infinitary polynomial Hales-Jewett theorem ⋮ Combinatorial properties of Nil-Bohr sets ⋮ FVIP systems and multiple recurrence

Cites Work

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• Idempotents in compact semigroups and Ramsey theory
• A dual form of Ramsey's theorem
• Algebra in the Stone-Čech compactification: theory and applications
• Finite sums from sequences within cells of a partition of N
• Regularity and Positional Games
• IP-sets and polynomial recurrence
• Nonmetrizable Topological Dynamics and Ramsey Theory
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

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