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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
- Genearlizations 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

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

# 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 Preprints, Singular Cardinals Combinatorics
Tagged HOD, Singular cardinals combinatorics
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