Some unifying principles in Ramsey theory
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Publication:1813078
DOI10.1016/0012-365X(88)90109-4zbMath0817.04002MaRDI QIDQ1813078
Publication date: 25 June 1992
Published in: Discrete Mathematics (Search for Journal in Brave)
Related Items (37)
Measurable Events Indexed by Trees ⋮ Ramsey algebras and the existence of idempotent ultrafilters ⋮ STRUCTURAL CONSIDERATIONS OF RAMSEY ALGEBRAS ⋮ Open Questions in Reverse Mathematics ⋮ Ramsey ultrafilters and the reaping number - Con(\({\mathfrak r}<{\mathfrak u}\)) ⋮ Colourful categories ⋮ An infinitary version of the Graham-Leeb-Rothschild theorem ⋮ Hindman's theorem is only a countable phenomenon ⋮ A disjoint unions theorem for trees ⋮ \textit{IP}-systems and recurrence in ergodic theory: an update ⋮ Measurable events indexed by words ⋮ Topological dynamics indexed by words ⋮ Role of associativity in Ramsey algebras ⋮ Ramsey monoids ⋮ One sided ideals and Carlson’s Theorem ⋮ A density version of the Halpern-Läuchli theorem ⋮ Unnamed Item ⋮ A density version of the Carlson-Simpson theorem ⋮ Graham-Rothschild parameter words and measurable partitions ⋮ Measurable events indexed by products of trees ⋮ Matrices of completely Ramsey sets with infinitely many rows ⋮ Heterogeneous Ramsey algebras and classification of Ramsey vector spaces ⋮ Lipschitz functions on classical spaces ⋮ Unconditional families in Banach spaces ⋮ Schreier sets in Ramsey theory ⋮ Abstract topological Ramsey theory for nets ⋮ Topological dynamics on nets ⋮ A Ramsey Algebraic Study of Matrices ⋮ Ramsey families of subtrees of the dyadic tree ⋮ A density version of the Hales-Jewett theorem ⋮ An infinitary extension of the Graham–Rothschild Parameter Sets Theorem ⋮ Mathias and set theory ⋮ Idempotents in compact semigroups and Ramsey theory ⋮ Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces ⋮ A result in dual Ramsey theory ⋮ Parametrized Ellentuck theorem ⋮ The mathematics of Bruce Rothschild
Cites Work
- A dual form of Ramsey's theorem
- Ramsey's theorem with sums or unions
- Finite sums from sequences within cells of a partition of N
- Products of Infinitely Many Perfect Trees
- Regularity and Positional Games
- A new proof that analytic sets are Ramsey
- Ultrafilters: Some old and some new results
- Happy families
- Borel sets and Ramsey's theorem
- A Partition Theorem
- Every analytic set is Ramsey
- Ramsey's Theorem for n-Parameter Sets
- Unnamed Item
- Unnamed Item
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