A dual form of Ramsey's theorem
From MaRDI portal
Publication:1057862
DOI10.1016/0001-8708(84)90026-4zbMath0564.05005OpenAlexW2135756492MaRDI QIDQ1057862
Stephen G. Simpson, Timothy J. Carlson
Publication date: 1984
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(84)90026-4
Combinatorial aspects of partitions of integers (05A17) Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Topology of special sets defined by functions (54C50)
Related Items (56)
Ramsey algebras and the existence of idempotent ultrafilters ⋮ Partitions and filters ⋮ Open Questions in Reverse Mathematics ⋮ The space of infinite partitions of $\mathbb{N}$ as a topological Ramsey space ⋮ Some coloring properties for uncountable cardinals ⋮ Ramsey ultrafilters and the reaping number - Con(\({\mathfrak r}<{\mathfrak u}\)) ⋮ Subgroups of \(\mathrm{SF}(\omega)\) and the relation of almost containedness ⋮ An infinitary version of the Graham-Leeb-Rothschild theorem ⋮ Partition theorems from creatures and idempotent ultrafilters ⋮ On Galvin's lemma and Ramsey spaces ⋮ A disjoint unions theorem for trees ⋮ Borel combinatorics fail in HYP ⋮ Measurable events indexed by words ⋮ THE DETERMINED PROPERTY OF BAIRE IN REVERSE MATH ⋮ Carlson-Simpson's lemma and applications in reverse mathematics ⋮ Ramsey theory of homogeneous structures: current trends and open problems ⋮ On the structure of perfect sets in various topologies associated with tree forcings ⋮ Every CBER is smooth below the Carlson–Simpson generic partition ⋮ Dual Ramsey properties for classes of algebras ⋮ One sided ideals and Carlson’s Theorem ⋮ Milliken’s Tree Theorem and Its Applications: A Computability-Theoretic Perspective ⋮ Deducing the density Hales-Jewett theorem from an infinitary removal lemma ⋮ A density version of the Hales-Jewett theorem for \(k=3\) ⋮ A density version of the Halpern-Läuchli theorem ⋮ Oscillation stability for continuous monotone surjections ⋮ Unnamed Item ⋮ A density version of the Carlson-Simpson theorem ⋮ Graham-Rothschild parameter words and measurable partitions ⋮ A dual form of Erdős-Rado's canonization theorem ⋮ Topological Ramsey spaces and metrically Baire sets ⋮ A computable analysis of variable words theorems ⋮ Lipschitz functions on classical spaces ⋮ Borel partitions of infinite subtrees of a perfect tree ⋮ An infinite self-dual Ramsey theorem ⋮ Around splitting and reaping for partitions of \(\omega \) ⋮ An infinitary polynomial Hales-Jewett theorem ⋮ Ramsey Theory in Noncommutative Semigroups ⋮ Extensions of the Polynomial Hales–Jewett Theorem ⋮ Doughnuts, floating ordinals, square brackets, and ultraflitters ⋮ Unnamed Item ⋮ Laver and set theory ⋮ Ramsey families of subtrees of the dyadic tree ⋮ A density version of the Hales-Jewett theorem ⋮ Mathias and set theory ⋮ Idempotents in compact semigroups and Ramsey theory ⋮ Some unifying principles in Ramsey theory ⋮ Converse dual cardinals ⋮ Reading ``A variant of the Hales-Jewett theorem on its anniversary ⋮ Topological Ramsey spaces of equivalence relations and a dual Ramsey theorem for countable ordinals ⋮ Effectiveness for the dual Ramsey theorem ⋮ An infinitary polynomial van der Waerden theorem ⋮ Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces ⋮ Dualization of the van Douwen diagram ⋮ A result in dual Ramsey theory ⋮ Parametrized Ellentuck theorem ⋮ Finite basis for analytic multiple gaps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Ramsey theorem for trees
- Cabal seminar 77 -- 79. Proceedings, Caltech-UCLA Logic Seminar 1977 -- 79
- Correction to Peano models with many generic classes
- Proper forcing
- Set theory. An introduction to large cardinals
- Ramsey's theorem with sums or unions
- On the consistency of Borel's conjecture
- Finite sums from sequences within cells of a partition of N
- A model of set-theory in which every set of reals is Lebesgue measurable
- Regularity and Positional Games
- A Partition Theorem for the Infinite Subtrees of a Tree
- A Partition Theorem For Perfect Sets
- Partitions of Products
- On the role of Ramsey quantifiers in first order arithmetic
- A new proof that analytic sets are Ramsey
- Determinateness and Partitions
- Happy families
- Sets which do not have subsets of every higher degree
- Hyperarithmetically Encodable Sets
- Borel sets and Ramsey's theorem
- A Partition Theorem
- Ramsey's Theorem for n-Parameter Sets
- Ramsey's theorem and recursion theory
This page was built for publication: A dual form of Ramsey's theorem