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super-Souslin tree Almost-disjoint famiy Almost countably chromatic Selective Ultrafilter Rock n' Roll Minimal Walks Shelah's Strong Hypothesis xbox Kurepa Hypothesis Cardinal Invariants PFA Fodor-type reflection Generalized Clubs Prevalent singular cardinals Axiom R Ascent Path Chromatic number diamond star Ostaszewski square ccc middle diamond Distributive tree Stevo Todorcevic Chang's conjecture polarized partition relation Antichain Weakly compact cardinal approachability ideal Jonsson cardinal sap Cohen real Constructible Universe square Successor of Regular Cardinal Absoluteness Knaster OCA Non-saturation P-Ideal Dichotomy square principles Singular cardinals combinatorics L-space Mandelbrot set very good scale Club Guessing free Souslin tree specializable Souslin tree Fat stationary set Coherent tree Poset tensor product graph weak square Rado's conjecture Erdos Cardinal Cardinal function Successor of Singular Cardinal Aronszajn tree weak diamond HOD Martin's Axiom Erdos-Hajnal graphs Microscopic Approach coloring number Forcing Axioms projective Boolean algebra Square-Brackets Partition Relations Postprocessing function incompactness Fast club Hindman's Theorem Universal Sequences Small forcing Uniformly coherent Singular Density Dushnik-Miller Almost Souslin Rainbow sets reflection principles Reduced Power S-Space Luzin set Whitehead Problem Singular coﬁnality Parameterized proxy principle Diamond Hedetniemi's conjecture Commutative cancellative semigroups Partition Relations stationary hitting free Boolean algebra Foundations Prikry-type forcing Uniformization Hereditarily Lindelöf space Nonspecial tree Slim tree Sakurai's Bell inequality Large Cardinals Forcing Souslin Tree b-scale PFA(S)[S] stationary reflection

# 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