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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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- Partitioning the club guessing January 22, 2014

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

# 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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