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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
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

### Keywords

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

# 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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