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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
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### Keywords

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

# 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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