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

# Tag Archives: HOD

## Ordinal definable subsets of singular cardinals

Joint work with James Cummings, Sy-David Friedman, Menachem Magidor, and Dima Sinapova. Abstract. A remarkable result by Shelah states that if $\kappa$ is a singular strong limit cardinal of uncountable cofinality then there is a subset $x$ of $\kappa$ such … Continue reading

Posted in Publications, Singular Cardinals Combinatorics
Tagged HOD, Singular cardinals combinatorics
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