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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

### Keywords

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

# 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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