Lines imply spaces in density Ramsey theory

DOI10.1016/0097-3165(84)90006-2zbMath0532.05002OpenAlexW2006024284WikidataQ60568636 ScholiaQ60568636MaRDI QIDQ788721

Thomas C. Brown, Joe P. Buhler

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0097-3165(84)90006-2

zbMATH Keywords

geometric Ramsey theorydensity versionmonochromatic affine subspace

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Ramsey theory (05D10) Other finite incidence structures (geometric aspects) (51E30)

Related Items (3)

On subsets of abelian groups with no 3-term arithmetic progression ⋮ On the Distribution of Three-Term Arithmetic Progressions in Sparse Subsets of F_pⁿ ⋮ Affine and combinatorial binary m-spaces

Cites Work

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• A density version of a geometric Ramsey theorem
• Behrend's theorem for sequences containing no k-element arithmetic progression of a certain type
• Regularity and Positional Games
• Behrend's Theorem for Dense Subsets of Finite Vector Spaces
• On sets of integers containing k elements in arithmetic progression
• Ramsey's Theorem for Spaces
• Ramsey's Theorem for n-Parameter Sets

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