Polynomial extension of the stronger central sets theorem

DOI10.37236/11556arXiv2209.10253OpenAlexW4389208150MaRDI QIDQ6117255

Sourav Kanti Patra, Sayan Goswami, Lorenzo Luperi Baglini

Publication date: 16 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.10253

zbMATH Keywords

Ramsey theoryHindman's theoremvan der Waerden's theorem

Mathematics Subject Classification ID

Extremal set theory (05D05) Structure of topological semigroups (22A15) Ramsey theory (05D10)

Cites Work

• New polynomial and multidimensional extensions of classical partition results
• Algebra in the Stone-Čech compactification. Theory and applications
• Finite sums from sequences within cells of a partition of N
• A combinatorial viewpoint on preserving notion of largeness and an abstract Rado theorem
• Nonmetrizable Topological Dynamics and Ramsey Theory
• A history of central sets
• A new and stronger central sets theorem
• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems
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