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

# Tag Archives: Distributive 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