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Well-behaved magma Erdos Cardinal Weakly compact cardinal super-Souslin tree free Souslin tree middle diamond HOD Hereditarily Lindelöf space Intersection model S-Space Axiom R Partition Relations Greatly Mahlo Rainbow sets Erdos-Hajnal graphs Small forcing Shelah's Strong Hypothesis Slim tree Mandelbrot set Martin's Axiom countably metacompact diamond star Cohen real strongly bounded groups Fat stationary set Singular cofinality square Whitehead Problem P-Ideal Dichotomy Was Ulam right? Commutative cancellative semigroups AIM forcing polarized partition relation GMA Almost Souslin Constructible Universe very good scale reflection principles Postprocessing function Sierpinski's onto mapping principle Ulam matrix ZFC construction Ascending path positive partition relation L-space Iterated forcing Ascent Path coloring number Filter reflection Amenable C-sequence sap Monotonically far weak square Diamond for trees Aronszajn tree Absoluteness b-scale Universal Sequences Uniformization indecomposable filter Chromatic number Forcing Singular Density Square-Brackets Partition Relations OCA Strongly Luzin set Forcing with side conditions perfectly normal SNR Poset Commutative projection system Club Guessing C-sequence Forcing Axioms Souslin Tree Countryman line Minimal Walks Ineffable cardinal Knaster and friends Successor of Regular Cardinal full tree Closed coloring tensor product graph specializable Souslin tree Prikry-type forcing Generalized Clubs Rock n' Roll Singular cardinals combinatorics Dushnik-Miller PFA stick PFA(S)[S] Respecting tree Entangled linear order Jonsson cardinal weak diamond Sigma-Prikry stationary hitting Diamond-sharp Uniformly coherent Subnormal ideal Diamond Luzin set projective Boolean algebra Antichain nonmeager set approachability ideal Ostaszewski square Strongly compact cardinal Knaster weak Kurepa tree unbounded function Analytic sets Open Access Hedetniemi's conjecture Hindman's Theorem incompactness O-space regressive Souslin tree Non-saturation Ramsey theory over partitions stationary reflection Cardinal Invariants Parameterized proxy principle Rado's conjecture Subadditive 54G20 Uniformly homogeneous Kurepa Hypothesis Reflecting stationary set Sakurai's Bell inequality Strong coloring Precaliber transformations square principles Chang's conjecture Successor of Singular Cardinal Foundations Large Cardinals free Boolean algebra Generalized descriptive set theory Lipschitz reduction Prevalent singular cardinals Coherent tree Fast club Vanishing levels higher Baire space Selective Ultrafilter Almost countably chromatic club_AD Subtle tree property Microscopic Approach Fodor-type reflection Reduced Power Distributive tree xbox Interval topology on trees Dowker space Subtle cardinal ccc Almost-disjoint family Nonspecial tree Cardinal function Local Club Condensation.
Tag Archives: Intersection model
A new model for all C-sequences are trivial
Joint work with Zhixing You and Jiachen Yuan. Abstract. We construct a model in which all C-sequences are trivial, yet there exists a $\kappa$-Souslin tree with full vanishing levels. This answers a question from a previous paper, and provides an … Continue reading
Posted in Compactness, Publications
Tagged Ascent Path, C-sequence, Intersection model, Souslin Tree, Subtle tree property, Vanishing levels
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Ketonen’s question and other cardinal sins
Joint work with Zhixing You and Jiachen Yuan. Abstract. Answering a question of Ketonen from the late 1970’s, it is proved that a weakly compact cardinal carrying an indecomposable ultrafilter need not be measurable. The result is obtained by analyzing … Continue reading
