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- Prikry forcing may add a Souslin tree June 12, 2016
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Distributive tree 05A17 polarized partition relation Sakurai's Bell inequality Antichain Fat stationary set square principles Prevalent singular cardinals diamond star reflection principles Ostaszewski square Chromatic number Minimal Walks Weakly compact cardinal projective Boolean algebra 05D10 Martin's Axiom Aronszajn tree Rado's conjecture S-Space free Boolean algebra coloring number Poset Erdos Cardinal Parameterized proxy principle Hedetniemi's conjecture Non-saturation Uniformization Cardinal Invariants Chang's conjecture Hereditarily Lindelöf space Reduced Power very good scale Hindman's Theorem Nonspecial tree weak diamond incompactness tensor product graph weak square approachability ideal Almost countably chromatic Partition Relations Forcing Axioms 20M14 HOD xbox Successor of Regular Cardinal middle diamond Kurepa Hypothesis Postprocessing function Fodor-type reflection Erdos-Hajnal graphs stationary reflection Coherent tree Uniformly coherent Selective Ultrafilter Microscopic Approach 11P99 Singular Density Axiom R b-scale Foundations L-space PFA(S)[S] Shelah's Strong Hypothesis Dushnik-Miller Diamond Knaster sap Square-Brackets Partition Relations Absoluteness OCA Large Cardinals square Almost-disjoint famiy Singular cardinals combinatorics Stevo Todorcevic PFA P-Ideal Dichotomy Forcing Cohen real Whitehead Problem Generalized Clubs Universal Sequences Small forcing Ascent Path stationary hitting Rock n' Roll Successor of Singular Cardinal Mandelbrot set Almost Souslin ccc Club Guessing Prikry-type forcing Commutative cancellative semigroups Cardinal function Souslin Tree Fast club Constructible Universe Rainbow sets Slim tree Singular coﬁnality Jonsson cardinal

# 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