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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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reflection principles Prikry-type forcing square stationary hitting Diamond polarized partition relation 11P99 PFA Cardinal function Forcing Erdos-Hajnal graphs Antichain free Boolean algebra weak diamond sap coloring number Uniformly coherent diamond star Reduced Power Minimal Walks Universal Sequences Singular Density Almost-disjoint famiy Nonspecial tree middle diamond Jonsson cardinal Generalized Clubs Hedetniemi's conjecture OCA ccc L-space square principles Almost countably chromatic Coherent tree Ostaszewski square Non-saturation Souslin Tree P-Ideal Dichotomy weak square S-Space 20M14 Shelah's Strong Hypothesis Knaster b-scale Chromatic number Hereditarily Lindelöf space HOD 05A17 Chang's conjecture Singular cardinals combinatorics Fodor-type reflection tensor product graph Axiom R Absoluteness Rock n' Roll Parameterized proxy principle Singular coﬁnality Slim tree Fast club approachability ideal Erdos Cardinal Hindman's Theorem Cohen real very good scale Cardinal Invariants Foundations Ascent Path incompactness Successor of Regular Cardinal Small forcing Postprocessing function xbox Distributive tree 05D10 Successor of Singular Cardinal Kurepa Hypothesis Microscopic Approach Poset Aronszajn tree stationary reflection Martin's Axiom Prevalent singular cardinals Dushnik-Miller PFA(S)[S] Partition Relations Sakurai's Bell inequality Uniformization Weakly compact cardinal Selective Ultrafilter Club Guessing Square-Brackets Partition Relations Whitehead Problem Forcing Axioms Fat stationary set Large Cardinals Stevo Todorcevic Commutative cancellative semigroups Almost Souslin Rado's conjecture Constructible Universe projective Boolean algebra Mandelbrot set Rainbow sets

# 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