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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
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### Keywords

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

# 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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