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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
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### Keywords

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

# Tag Archives: Slim 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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