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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
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

### Keywords

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

# Tag Archives: weak diamond

## The search for diamonds

Abstract: This is a review I wrote for the Bulletin of Symbolic Logic on the following papers: Saharon Shelah, Middle Diamond, Archive for Mathematical Logic, vol. 44 (2005), pp. 527–560. Saharon Shelah, Diamonds, Proceedings of the American Mathematical Society, vol. … Continue reading

Posted in Publications, Reviews, Squares and Diamonds
Tagged Diamond, middle diamond, weak diamond, weak square
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