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