\(D\) sets and a Sárközy theorem for countable fields

DOI10.1007/s11856-014-1062-7zbMath1384.37006OpenAlexW2092456464MaRDI QIDQ466068

Alistair Windsor, Randall McCutcheon

Publication date: 24 October 2014

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

Full work available at URL: https://doi.org/10.1007/s11856-014-1062-7

zbMATH Keywords

additive Følner sequenceessential idempotent ultrafiltersprobability measure preserving system

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Special sequences and polynomials (11B83) Ramsey theory (05D10) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (1)

Polynomial recurrence with large intersection over countable fields

Cites Work

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• Algebra in the Stone-Čech compactification. Theory and applications
• Solvability of Rado systems in \(D\)-sets
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Polynomial Szemerédi theorems for countable modules over integral domains and finite fields
• On difference sets of sequences of integers. III
• A Sárközy Theorem for Finite Fields
• IP-sets and polynomial recurrence
• Large sets of integers and hierarchy of mixing properties of measure preserving systems
• Generalization of a theorem of Bogolioùboff to topological groups. With an appendix on Banach mean values in nonabelian groups

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