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- A strong form of König’s lemma October 21, 2017
- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
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- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
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Universal Sequences Distributive tree Souslin Tree Stevo Todorcevic HOD Ascent Path Poset Axiom R tensor product graph polarized partition relation weak diamond sap Small forcing approachability ideal Hindman's Theorem weak square Large Cardinals Antichain Rock n' Roll 20M14 Weakly compact cardinal free Boolean algebra Partition Relations OCA reflection principles Fat stationary set Jonsson cardinal Coherent tree Fast club Almost Souslin Cardinal function xbox Successor of Singular Cardinal PFA Reduced Power Foundations Rainbow sets square Commutative cancellative semigroups b-scale 05A17 Singular Density Nonspecial tree square principles projective Boolean algebra Singular cardinals combinatorics Knaster Aronszajn tree Luzin set Prevalent singular cardinals Ostaszewski square Minimal Walks Hereditarily Lindelöf space Slim tree Mandelbrot set incompactness Erdos-Hajnal graphs Selective Ultrafilter Kurepa Hypothesis Forcing Axioms Erdos Cardinal Martin's Axiom 11P99 stationary reflection Whitehead Problem Dushnik-Miller Forcing middle diamond Microscopic Approach Prikry-type forcing stationary hitting Fodor-type reflection very good scale PFA(S)[S] Successor of Regular Cardinal coloring number super-Souslin tree Chromatic number Shelah's Strong Hypothesis Hedetniemi's conjecture Cohen real Sakurai's Bell inequality diamond star Rado's conjecture Absoluteness Constructible Universe Singular coﬁnality Almost-disjoint famiy Uniformization S-Space Club Guessing Almost countably chromatic Uniformly coherent Cardinal Invariants Non-saturation ccc Square-Brackets Partition Relations Chang's conjecture L-space Generalized Clubs Parameterized proxy principle Postprocessing function P-Ideal Dichotomy Diamond

# 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