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