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