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