Density versions of Schur's theorem for ideals generated by submeasures

DOI10.1016/j.jcta.2009.12.005zbMath1230.05036OpenAlexW1968466365MaRDI QIDQ986127

Piotr Szuca, Rafał Filipów

Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2009.12.005

zbMATH Keywords

statistical convergenceideal convergenceSchur's theoremsubsequenceBolzano-Weierstrass propertystatistical densityBolzano-Weierstrass theorem

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17)

Related Items (8)

Unnamed Item ⋮ On matrix summability of spliced sequences and \(A\)-density of points ⋮ Invariant ideals and their applications to the turnpike theory ⋮ \(A\)-statistical cluster points in finite dimensional spaces and application to turnpike theorem ⋮ Different kinds of density ideals ⋮ Ideal version of Ramsey’s theorem ⋮ On spliced sequences and the density of points with respect to a matrix constructed by using a weight function ⋮ On IA-density of points and some of its consequences

Cites Work

• Unnamed Item
• Topics in topology
• A density statement generalizing Schur's theorem
• Density versions of two generalizations of Schur's theorem
• Analytic ideals and their applications
• Iterated combinatorial density theorems
• Van der Waerden spaces
• On Certain Boolean Algebras P(ω)/I
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• A Note on Borel Equivalence Relations
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers
• Ideal convergence of bounded sequences
• On Poincaré’s recurrence theorem

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