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