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