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