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

# Tag Archives: Coherent tree

## A Microscopic approach to Souslin-tree constructions. Part I

Joint work with Ari Meir Brodsky. Abstract. We propose a parameterized proxy principle from which $\kappa$-Souslin trees with various additional features can be constructed, regardless of the identity of $\kappa$. We then introduce the microscopic approach, which is a simple … Continue reading

Posted in Publications, Souslin Hypothesis
Tagged 03E05, 03E35, 03E65, 05C05, Coherent tree, Diamond, Microscopic Approach, Parameterized proxy principle, Slim tree, Souslin Tree, square, xbox
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