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

# 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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