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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

### Keywords

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

# 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