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

# 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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