Superfilters, Ramsey theory, and van der Waerden's theorem

DOI10.1016/j.topol.2009.04.014zbMath1231.05272arXiv0808.1654OpenAlexW2069119008MaRDI QIDQ1032907

Nadav Samet, Boaz Tsaban

Publication date: 5 November 2009

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

Full work available at URL: https://arxiv.org/abs/0808.1654

zbMATH Keywords

Ramsey theoryarithmetic progressionsRamsey theoremvan der Waerden theoremSchur theoremRado theoremFolkman-Rado-Sanders theoremsuperfilters

Mathematics Subject Classification ID

Ramsey theory (05D10)

Related Items (7)

Statistical convergence in topology ⋮ Rothberger's property in all finite powers ⋮ Selective separability on spaces with an analytic topology ⋮ Abstract topological Ramsey theory for nets ⋮ Topological dynamics on nets ⋮ Partition relations for Hurewicz-type selection hypotheses ⋮ Ideal version of Ramsey’s theorem

Cites Work

• Ultrafilters and multidimensional Ramsey theorems
• Some properties of C(X). I
• Algebra in the Stone-Čech compactification: theory and applications
• The combinatorics of Borel covers
• Studien zur Kombinatorik
• Combinatorics of open covers. I: Ramsey theory
• Applications of \(k\)-covers
• The combinatorics of open covers. II
• Happy families
• Partition Theorems and Ultrafilters
• Semiselective coideals
• Combinatorics of open covers (VII): Groupability
• Ultrafilters on a countable set
• Selection principles and covering properties in Topology
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