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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
- Prolific Souslin trees March 17, 2016
- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
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Postprocessing function weak diamond Constructible Universe stationary hitting Poset free Souslin tree Sakurai's Bell inequality Singular coﬁnality diamond star Antichain Souslin Tree Rado's conjecture weak square Large Cardinals Small forcing Almost-disjoint famiy Axiom R square principles Ostaszewski square Hedetniemi's conjecture Slim tree Selective Ultrafilter Successor of Regular Cardinal Hereditarily Lindelöf space Cohen real Partition Relations Erdos Cardinal Club Guessing coloring number Aronszajn tree PFA Singular Density Erdos-Hajnal graphs Uniformly coherent tensor product graph Mandelbrot set reflection principles Forcing Axioms Fat stationary set L-space Universal Sequences Jonsson cardinal free Boolean algebra Dushnik-Miller PFA(S)[S] Luzin set projective Boolean algebra Nonspecial tree Rainbow sets Minimal Walks polarized partition relation Prikry-type forcing Whitehead Problem Absoluteness Chang's conjecture square Rock n' Roll Stevo Todorcevic Hindman's Theorem Commutative cancellative semigroups middle diamond Martin's Axiom stationary reflection Weakly compact cardinal Square-Brackets Partition Relations Diamond b-scale Chromatic number Fast club Generalized Clubs Cardinal Invariants Parameterized proxy principle Fodor-type reflection Forcing Distributive tree Microscopic Approach approachability ideal Shelah's Strong Hypothesis incompactness OCA Singular cardinals combinatorics Uniformization very good scale HOD specializable Souslin tree P-Ideal Dichotomy super-Souslin tree sap Knaster Ascent Path Successor of Singular Cardinal Cardinal function Non-saturation ccc xbox Almost countably chromatic S-Space Coherent tree Prevalent singular cardinals Almost Souslin Reduced Power Foundations Kurepa Hypothesis

# 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