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Strongly compact cardinal Sakurai's Bell inequality 54G20 S-Space Partition relations for trees Diamond-sharp Subtle cardinal Intersection model Square-Brackets Partition Relations Iterated forcing Uniformization Weakly compact cardinal Subnormal ideal Forcing with side conditions Martin's Axiom Distributive tree reflection principles square principles Prikry-type forcing Coherent tree Absoluteness Rainbow sets Closed coloring Entangled linear order stick Analytic sets Nonspecial tree Strong coloring Monotonically far incompactness Uniformly homogeneous P-Ideal Dichotomy Singular cardinals combinatorics countably metacompact diamond star Axiom R Selective Ultrafilter PFA Lipschitz reduction ccc Small forcing Luzin set Souslin Tree Singular cofinality PFA(S)[S] Cardinal Invariants Ostaszewski square Generalized descriptive set theory Knaster and friends Universal Sequences coloring number Was Ulam right? regressive Souslin tree ZFC construction Fast club nonmeager set L-space Successor of Regular Cardinal Chang's conjecture transformations Non-saturation specializable Souslin tree polarized partition relation Diamond for trees Parameterized proxy principle middle diamond Successor of Singular Cardinal Forcing Axioms Erdos Cardinal Greatly Mahlo unbounded function full tree Almost countably chromatic Slim tree sap Rado's conjecture Aronszajn tree Uniformly coherent Foundations Local Club Condensation. square Shelah's Strong Hypothesis Ineffable cardinal Club Guessing projective Boolean algebra Antichain SNR Mandelbrot set Reflecting stationary set Cardinal function Countryman line HOD Kurepa Hypothesis Commutative cancellative semigroups Interval topology on trees Minimal Walks weak square Ulam matrix weak Kurepa tree Cohen real Reduced Power AIM forcing perfectly normal Commutative projection system Open Access Fat stationary set Ramsey theory over partitions Amenable C-sequence Subtle tree property Rock n' Roll Poset GMA indecomposable filter higher Baire space Large Cardinals free Souslin tree Hindman's Theorem Precaliber Singular Density Subadditive strongly bounded groups C-sequence stationary hitting Forcing Partition Relations Generalized Clubs Erdos-Hajnal graphs weak diamond Respecting tree Prevalent singular cardinals approachability ideal b-scale Diamond Hedetniemi's conjecture Filter reflection xbox super-Souslin tree OCA Dowker space club_AD very good scale Microscopic Approach positive partition relation Almost Souslin Ascending path Chromatic number Postprocessing function Constructible Universe Whitehead Problem Hereditarily Lindelöf space Strongly Luzin set free Boolean algebra O-space Ascent Path Sierpinski's onto mapping principle Jonsson cardinal stationary reflection Vanishing levels Sigma-Prikry Almost-disjoint family Dushnik-Miller Knaster Fodor-type reflection tensor product graph Well-behaved magma
Tag Archives: Subtle cardinal
Full Souslin trees at small cardinals
Joint work with Shira Yadai and Zhixing You. Abstract. A $\kappa$-tree is full if each of its limit levels omits no more than one potential branch. Kunen asked whether a full $\kappa$-Souslin tree may consistently exist. Shelah gave an affirmative … Continue reading
