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- 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
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

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

# 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