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weak diamond Filter reflection positive partition relation Uniformly homogeneous AIM forcing weak Kurepa tree Strongly Luzin set Open Access Diamond GMA L-space Diamond for trees Hereditarily Lindelöf space free Boolean algebra PFA(S)[S] Selective Ultrafilter Constructible Universe P-Ideal Dichotomy Subtle cardinal Universal Sequences Singular Density Strong coloring Martin's Axiom stationary hitting Commutative cancellative semigroups Was Ulam right? Antichain club_AD Lipschitz reduction stationary reflection SNR Kurepa Hypothesis OCA Aronszajn tree Ascent Path diamond star Coherent tree projective Boolean algebra Ineffable cardinal Rock n' Roll middle diamond Small forcing Sakurai's Bell inequality Closed coloring Iterated forcing Hindman's Theorem tensor product graph Minimal Walks Whitehead Problem Ramsey theory over partitions Fast club incompactness Intersection model Partition Relations Hedetniemi's conjecture Diamond-sharp Generalized descriptive set theory Generalized Clubs Ascending path Cohen real Axiom R Erdos-Hajnal graphs full tree approachability ideal sap Distributive tree Poset Prevalent singular cardinals Ostaszewski square Foundations xbox PFA Subadditive countably metacompact Shelah's Strong Hypothesis Club Guessing super-Souslin tree Postprocessing function O-space b-scale Well-behaved magma Singular cofinality strongly bounded groups Monotonically far Weakly compact cardinal Commutative projection system Erdos Cardinal Successor of Singular Cardinal Local Club Condensation. Interval topology on trees Fodor-type reflection Partition relations for trees Slim tree Cardinal function Analytic sets C-sequence Chang's conjecture Cardinal Invariants 54G20 HOD Knaster and friends Amenable C-sequence Absoluteness Strongly compact cardinal Almost countably chromatic Souslin Tree specializable Souslin tree unbounded function indecomposable filter Forcing very good scale Singular cardinals combinatorics Reduced Power Non-saturation transformations Precaliber Square-Brackets Partition Relations Rainbow sets Sigma-Prikry Prikry-type forcing Mandelbrot set higher Baire space Successor of Regular Cardinal nonmeager set Luzin set Chromatic number Large Cardinals S-Space ccc Ulam matrix Microscopic Approach regressive Souslin tree Forcing with side conditions free Souslin tree Entangled linear order coloring number Greatly Mahlo Countryman line Uniformization stick polarized partition relation reflection principles Rado's conjecture Respecting tree Forcing Axioms Dushnik-Miller Almost Souslin Fat stationary set ZFC construction Uniformly coherent Subtle tree property Nonspecial tree Jonsson cardinal Reflecting stationary set Parameterized proxy principle square principles Knaster Sierpinski's onto mapping principle square Almost-disjoint family perfectly normal Subnormal ideal Dowker space weak square Vanishing levels
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
