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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

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

# 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 Preprints, 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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