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