Rado equations solved by linear combinations of idempotent ultrafilters

DOI10.1016/j.topol.2021.107897OpenAlexW3210850742MaRDI QIDQ2052576

Paulo Henrique Arruda, Lorenzo Luperi Baglini

Publication date: 26 November 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13722

zbMATH Keywords

ultrafilterspartition regularityRado equations

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Ramsey theory (05D10) Linear Diophantine equations (11D04) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Cites Work

• Strongly productive ultrafilters on semigroups
• Idempotent ultrafilters, multipleweak mixing and Szemerédi's theorem for generalized polynomials
• Solvability of Rado systems in \(D\)-sets
• Algebra in the Stone-Čech compactification: theory and applications
• Strongly summable ultrafilters on abelian groups
• Ramsey properties of nonlinear Diophantine equations
• Fermat-like equations that are not partition regular
• The Shelah P-point independence theorem
• Studien zur Kombinatorik
• Partition regularity of polynomial systems near zero
• Idempotents in \(\beta S\) that are only products trivially
• Forcing and stable ordered–union ultrafilters
• SEPARATING MILLIKEN–TAYLOR SYSTEMS WITH NEGATIVE ENTRIES
• Nonstandard characterisations of tensor products and monads in the theory of ultrafilters
• Iterated hyper-extensions and an idempotent ultrafilter proof of Rado’s Theorem
• Partition Regularity of Nonlinear Polynomials: a Nonstandard Approach

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