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Singular cardinals combinatorics PFA(S)[S] Almost countably chromatic Aronszajn tree Subtle tree property Amenable C-sequence Ramsey theory over partitions Cardinal Invariants Subtle cardinal Filter reflection Fodor-type reflection Diamond-sharp b-scale Well-behaved magma Weakly compact cardinal stick Closed coloring Ascent Path Singular Density Reduced Power weak square weak diamond Prikry-type forcing Forcing Rock n' Roll Uniformly coherent Fast club ZFC construction square principles strongly bounded groups Parameterized proxy principle xbox Cohen real Martin's Axiom Sakurai's Bell inequality Non-saturation Hindman's Theorem Ineffable cardinal projective Boolean algebra Large Cardinals ccc PFA P-Ideal Dichotomy Commutative cancellative semigroups Erdos-Hajnal graphs Singular cofinality nonmeager set Almost Souslin Precaliber Hedetniemi's conjecture Vanishing levels Slim tree Mandelbrot set Almost-disjoint family Sierpinski's onto mapping principle Lipschitz reduction Absoluteness middle diamond S-Space Shelah's Strong Hypothesis very good scale Prevalent singular cardinals Dowker space polarized partition relation stationary reflection Club Guessing Souslin Tree Antichain Diamond incompactness C-sequence Was Ulam right Strongly Luzin set HOD Axiom R Foundations Cardinal function free Boolean algebra 54G20 Knaster and friends Reflecting stationary set Universal Sequences countably metacompact Subadditive Minimal Walks Microscopic Approach free Souslin tree higher Baire space Partition Relations Diamond for trees Strong coloring unbounded function OCA tensor product graph Rainbow sets Generalized descriptive set theory Uniformly homogeneous specializable Souslin tree SNR square Jonsson cardinal Square-Brackets Partition Relations Selective Ultrafilter sap Small forcing Dushnik-Miller reflection principles diamond star AIM forcing weak Kurepa tree club_AD Postprocessing function Uniformization Greatly Mahlo coloring number Fat stationary set Ulam matrix Chang's conjecture Ostaszewski square Generalized Clubs Knaster Nonspecial tree Luzin set regressive Souslin tree Coherent tree Analytic sets Subnormal ideal Successor of Regular Cardinal approachability ideal Distributive tree Local Club Condensation. Whitehead Problem Hereditarily Lindelöf space Chromatic number stationary hitting Open Access Forcing Axioms super-Souslin tree Constructible Universe positive partition relation transformations Kurepa Hypothesis Sigma-Prikry Rado's conjecture full tree GMA L-space Successor of Singular Cardinal Erdos Cardinal Poset O-space Iterated forcing indecomposable ultrafilter
Tag Archives: 03E17
Ramsey theory over partitions III: Strongly Luzin sets and partition relations
Joint work with Menachem Kojman and Juris Steprāns. Abstract. The strongest type of coloring of pairs of countable ordinals, gotten by Todorcevic from a strongly Luzin set, is shown to be equivalent to the existence of a nonmeager set of … Continue reading
Ramsey theory over partitions I: Positive Ramsey relations from forcing axioms
Joint work with Menachem Kojman and Juris Steprāns. Abstract. In this series of papers, we advance Ramsey theory of colorings over partitions. In this part, a correspondence between anti-Ramsey properties of partitions and chain conditions of the natural forcing notions … Continue reading
Posted in Partition Relations, Publications
Tagged 03E02, 03E17, 03E35, GMA, Martin's Axiom, positive partition relation, Ramsey theory over partitions
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