Archives
Keywords
very good scale weak diamond weak square Sakurai's Bell inequality reflection principles Cohen real Generalized descriptive set theory 54G20 stationary reflection coloring number Fodor-type reflection Was Ulam right? Strongly Luzin set unbounded function Jonsson cardinal Chang's conjecture Whitehead Problem diamond star Open Access Weakly compact cardinal Entangled linear order C-sequence Souslin Tree ZFC construction indecomposable filter perfectly normal Mandelbrot set Sierpinski's onto mapping principle Singular cofinality higher Baire space PFA Commutative cancellative semigroups super-Souslin tree Subadditive OCA Kurepa Hypothesis Ineffable cardinal Closed coloring Hindman's Theorem Club Guessing Dowker space Selective Ultrafilter Fast club Diamond Cardinal function Respecting tree PFA(S)[S] Ramsey theory over partitions Postprocessing function Uniformly coherent Erdos Cardinal Singular cardinals combinatorics Strongly compact cardinal square Reflecting stationary set b-scale Singular Density Erdos-Hajnal graphs Well-behaved magma stick Intersection model Partition Relations xbox Filter reflection Ulam matrix S-Space incompactness Universal Sequences Diamond for trees Subtle cardinal Forcing Axioms Rado's conjecture Vanishing levels Reduced Power Antichain Minimal Walks Strong coloring SNR L-space strongly bounded groups Ostaszewski square Foundations Absoluteness club_AD stationary hitting Iterated forcing Subtle tree property Countryman line Rainbow sets Hereditarily Lindelöf space Aronszajn tree positive partition relation Analytic sets Subnormal ideal Constructible Universe Almost countably chromatic Ascent Path GMA regressive Souslin tree Local Club Condensation. Ascending path Square-Brackets Partition Relations Distributive tree Poset Uniformly homogeneous Successor of Singular Cardinal square principles Precaliber Slim tree Amenable C-sequence Large Cardinals free Boolean algebra projective Boolean algebra Shelah's Strong Hypothesis Chromatic number transformations tensor product graph Cardinal Invariants free Souslin tree Coherent tree Dushnik-Miller Sigma-Prikry countably metacompact Successor of Regular Cardinal Prikry-type forcing Knaster Martin's Axiom Hedetniemi's conjecture Microscopic Approach Greatly Mahlo polarized partition relation P-Ideal Dichotomy Non-saturation Uniformization Forcing with side conditions AIM forcing Almost Souslin specializable Souslin tree approachability ideal Commutative projection system Monotonically far Small forcing weak Kurepa tree Generalized Clubs Rock n' Roll O-space Parameterized proxy principle HOD Knaster and friends Nonspecial tree Luzin set full tree Fat stationary set sap nonmeager set middle diamond Interval topology on trees Diamond-sharp ccc Lipschitz reduction Almost-disjoint family Axiom R Prevalent singular cardinals Forcing
Tag Archives: Subnormal ideal
Was Ulam right? II: Small width and general ideals
Joint work with Tanmay Inamdar. Abstract. We continue our study of Sierpinski-type colourings. In contrast to the prequel paper, we focus here on colourings for ideals stratified by their completeness degree. In particular, improving upon Ulam’s theorem and its extension … Continue reading
Posted in Partition Relations, Publications
Tagged 03E02, 03E35, 03E55, C-sequence, Kurepa Hypothesis, Open Access, Subnormal ideal, Ulam matrix, Was Ulam right?
2 Comments
Was Ulam right? I: Basic theory and subnormal ideals
Joint work with Tanmay Inamdar. Abstract. We introduce various coloring principles which generalize the so-called onto mapping principle of Sierpinski to larger cardinals and general ideals. We prove that these principles capture the notion of an Ulam matrix and allow … Continue reading
