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