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