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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
- Square principles April 19, 2014

### Keywords

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

# Tag Archives: specializable Souslin tree

## A remark on Schimmerling’s question

Joint work with Ari Meir Brodsky. Abstract. Schimmerling asked whether $\square^*_\lambda$ together with GCH entails the existence of a $\lambda^+$-Souslin tree, for a singular cardinal $\lambda$. Here, we provide an affirmative answer under the additional assumption that there exists a … Continue reading