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