A combinatorial viewpoint on preserving notion of largeness and an abstract Rado theorem

zbMath1477.05183arXiv2008.06501MaRDI QIDQ4958954

Sayan Goswami, Subhajit Jana

Publication date: 15 September 2021

Full work available at URL: https://arxiv.org/abs/2008.06501

zbMATH Keywords

Rado's theoreminhomogeneous partition regularity

Mathematics Subject Classification ID

Partitions of sets (05A18) Ramsey theory (05D10)

Related Items (2)

Polynomial extension of the stronger central sets theorem ⋮ Central sets theorem along filters and some combinatorial consequences

Cites Work

• New polynomial and multidimensional extensions of classical partition results
• Algebra in the Stone-Čech compactification. Theory and applications
• Inhomogeneous partition regularity
• A simple characterization of sets satisfying the central sets theorem
• Studien zur Kombinatorik
• Central sets and their combinatorial characterization
• On the interplay between additive and multiplicative largeness and its combinatorial applications
• Image partition regular matrices and concepts of largeness
• Image partition regularity of matrices over commutative semigroups
• Partition regular structures contained in large sets are abundant

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