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