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Forcing with side conditions Knaster and friends Cardinal Invariants S-Space Parameterized proxy principle coloring number indecomposable filter PFA Strongly Luzin set Fodor-type reflection Subnormal ideal Analytic sets Filter reflection Martin's Axiom free Souslin tree Cohen real Fast club Rock n' Roll diamond star nonmeager set Uniformly homogeneous Ineffable cardinal middle diamond Strong coloring Iterated forcing Hereditarily Lindelöf space unbounded function Lipschitz reduction Weakly compact cardinal Ostaszewski square Antichain weak Kurepa tree stationary hitting C-sequence Diamond for trees Rainbow sets Foundations Almost-disjoint family Reduced Power HOD reflection principles Erdos Cardinal Prikry-type forcing Knaster Constructible Universe sap AIM forcing Rado's conjecture Poset Souslin Tree full tree stationary reflection super-Souslin tree Intersection model Absoluteness Reflecting stationary set Interval topology on trees Commutative projection system Coherent tree P-Ideal Dichotomy Forcing Was Ulam right? Vanishing levels PFA(S)[S] Non-saturation Diamond-sharp ccc Postprocessing function Aronszajn tree Countryman line Well-behaved magma Singular cofinality Almost Souslin Closed coloring Microscopic Approach Successor of Regular Cardinal Precaliber Mandelbrot set Erdos-Hajnal graphs ZFC construction Uniformly coherent weak diamond square GMA weak square Whitehead Problem Dowker space Prevalent singular cardinals Kurepa Hypothesis transformations Sakurai's Bell inequality Sierpinski's onto mapping principle Singular Density Small forcing Commutative cancellative semigroups club_AD xbox incompactness Amenable C-sequence Fat stationary set countably metacompact Generalized descriptive set theory Ascent Path Large Cardinals Uniformization positive partition relation approachability ideal Subtle tree property Diamond 54G20 Almost countably chromatic Ulam matrix Selective Ultrafilter polarized partition relation strongly bounded groups Chromatic number Sigma-Prikry Square-Brackets Partition Relations O-space SNR Entangled linear order Local Club Condensation. Ramsey theory over partitions Strongly compact cardinal Ascending path Nonspecial tree tensor product graph higher Baire space Cardinal function Hedetniemi's conjecture Hindman's Theorem Respecting tree Dushnik-Miller Successor of Singular Cardinal b-scale Club Guessing Singular cardinals combinatorics Partition Relations free Boolean algebra Generalized Clubs perfectly normal very good scale Subadditive stick Universal Sequences OCA Subtle cardinal Distributive tree square principles Slim tree Greatly Mahlo projective Boolean algebra L-space Chang's conjecture Open Access Monotonically far regressive Souslin tree Forcing Axioms Shelah's Strong Hypothesis Luzin set specializable Souslin tree Partition relations for trees Jonsson cardinal Minimal Walks Axiom R
Tag Archives: Distributive tree
Distributive Aronszajn trees
Joint work with Ari Meir Brodsky. Abstract. Ben-David and Shelah proved that if $\lambda$ is a singular strong-limit cardinal and $2^\lambda=\lambda^+$, then $\square^*_\lambda$ entails the existence of a $\lambda$-distributive $\lambda^+$-Aronszajn tree. Here, it is proved that the same conclusion remains … Continue reading
