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

# 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