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