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