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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

### Keywords

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

# 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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