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- Prikry forcing may add a Souslin tree June 12, 2016
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20M14 projective Boolean algebra incompactness super-Souslin tree sap stationary hitting reflection principles Coherent tree Erdos-Hajnal graphs Hindman's Theorem Mandelbrot set Almost Souslin Hedetniemi's conjecture Antichain Slim tree Parameterized proxy principle Minimal Walks Ostaszewski square Microscopic Approach Diamond Small forcing Distributive tree 05A17 Cardinal Invariants Luzin set Successor of Regular Cardinal xbox Shelah's Strong Hypothesis free Boolean algebra PFA(S)[S] coloring number Sakurai's Bell inequality Non-saturation S-Space Rock n' Roll Dushnik-Miller Souslin Tree b-scale Erdos Cardinal Singular coﬁnality L-space Reduced Power very good scale Prikry-type forcing Fat stationary set diamond star HOD square Prevalent singular cardinals Nonspecial tree Postprocessing function Almost-disjoint famiy PFA Fast club middle diamond Chromatic number Universal Sequences Successor of Singular Cardinal Constructible Universe weak square Forcing Foundations Jonsson cardinal Rainbow sets Whitehead Problem Partition Relations Generalized Clubs 11P99 Aronszajn tree Club Guessing Knaster Cohen real Stevo Todorcevic Weakly compact cardinal Fodor-type reflection Uniformization ccc Square-Brackets Partition Relations Chang's conjecture Axiom R P-Ideal Dichotomy Poset tensor product graph Kurepa Hypothesis Uniformly coherent square principles Almost countably chromatic Large Cardinals Martin's Axiom polarized partition relation Absoluteness weak diamond Singular cardinals combinatorics approachability ideal Forcing Axioms Hereditarily Lindelöf space stationary reflection Ascent Path OCA Rado's conjecture Cardinal function Commutative cancellative semigroups Singular Density Selective Ultrafilter

# 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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