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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
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- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

### Keywords

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

# 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 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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