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