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