Archives
Keywords
Coherent tree full tree stationary reflection Absoluteness Luzin set Hedetniemi's conjecture Aronszajn tree OCA Knaster Axiom R Well-behaved magma Rainbow sets higher Baire space Square-Brackets Partition Relations Weakly compact cardinal club_AD middle diamond Hindman's Theorem PFA Whitehead Problem approachability ideal Subtle tree property Ramsey theory over partitions AIM forcing stick Prevalent singular cardinals Subnormal ideal very good scale Filter reflection free Boolean algebra Diamond-sharp strongly bounded groups Ostaszewski square square transformations super-Souslin tree Subadditive Antichain Constructible Universe Successor of Regular Cardinal Distributive tree xbox Was Ulam right SNR Commutative cancellative semigroups Hereditarily Lindelöf space Uniformly coherent Minimal Walks Reduced Power Almost Souslin indecomposable ultrafilter Vanishing levels Lipschitz reduction Strongly Luzin set Fast club Local Club Condensation. Fat stationary set Poset Parameterized proxy principle L-space Singular cofinality weak diamond Open Access regressive Souslin tree Successor of Singular Cardinal stationary hitting ccc Foundations Precaliber incompactness Shelah's Strong Hypothesis Diamond Rado's conjecture coloring number Iterated forcing Ulam matrix Singular cardinals combinatorics Souslin Tree Slim tree Large Cardinals Prikry-type forcing Reflecting stationary set polarized partition relation Ascent Path Universal Sequences Martin's Axiom Kurepa Hypothesis Uniformization Selective Ultrafilter nonmeager set specializable Souslin tree Almost-disjoint family 54G20 Dowker space S-Space Sakurai's Bell inequality P-Ideal Dichotomy Chromatic number b-scale Partition Relations positive partition relation Non-saturation Ineffable cardinal Uniformly homogeneous diamond star Microscopic Approach free Souslin tree Diamond for trees Knaster and friends PFA(S)[S] Almost countably chromatic Chang's conjecture Singular Density C-sequence Cardinal function HOD sap Cohen real Dushnik-Miller Generalized descriptive set theory tensor product graph Analytic sets Rock n' Roll unbounded function Cardinal Invariants Strong coloring Sigma-Prikry Erdos-Hajnal graphs Amenable C-sequence square principles Erdos Cardinal GMA Mandelbrot set Forcing weak Kurepa tree Greatly Mahlo Small forcing Jonsson cardinal weak square Nonspecial tree projective Boolean algebra Generalized Clubs Forcing Axioms Sierpinski's onto mapping principle Subtle cardinal countably metacompact reflection principles O-space ZFC construction Postprocessing function Fodor-type reflection Closed coloring Club Guessing
Tag Archives: Ramsey theory over partitions
Ramsey theory over partitions II: Negative Ramsey relations and pump-up theorems
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, we concentrate on anti-Ramsey relations, or, as they are better known, strong colorings, and in … Continue reading
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
1 Comment