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