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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
- Genearlizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
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- Partitioning the club guessing January 22, 2014

### Keywords

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

# 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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