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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

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

# 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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