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### Recent blog posts

- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Genearlizations 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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stationary reflection Ascent Path projective Boolean algebra approachability ideal Mandelbrot set Selective Ultrafilter Absoluteness diamond star S-Space weak square Fodor-type reflection Prevalent singular cardinals Sakurai's Bell inequality HOD Erdos Cardinal Weakly compact cardinal Axiom R Martin's Axiom reflection principles polarized partition relation Rock n' Roll Successor of Singular Cardinal Non-saturation Dushnik-Miller stationary hitting Poset Aronszajn tree OCA PFA Stevo Todorcevic Rado's conjecture free Boolean algebra Fast club Shelah's Strong Hypothesis Souslin Tree tensor product graph 05A17 weak diamond Parameterized proxy principle coloring number Almost countably chromatic Coherent tree Singular cardinals combinatorics Successor of Regular Cardinal middle diamond Almost-disjoint famiy Universal Sequences Forcing Axioms Kurepa Hypothesis Forcing Uniformization Microscopic Approach P-Ideal Dichotomy 11P99 incompactness Cardinal function Reduced Power Chang's conjecture Jonsson cardinal PFA(S)[S] Generalized Clubs Prikry-type forcing Square-Brackets Partition Relations Singular coﬁnality Small forcing 20M14 Whitehead Problem b-scale Foundations Erdos-Hajnal graphs Commutative cancellative semigroups sap Constructible Universe Singular Density Ostaszewski square Partition Relations very good scale Large Cardinals L-space square Hereditarily Lindelöf space Fat stationary set Diamond Singular Cofinality Cohen real 05D10 Antichain Hindman's Theorem Club Guessing Rainbow sets Slim tree Almost Souslin xbox Chromatic number Hedetniemi's conjecture Knaster Cardinal Invariants Minimal Walks ccc

# Tag Archives: Slim 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 Preprints, 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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