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Precaliber Dowker space Generalized Clubs Sigma-Prikry Partition Relations Ramsey theory over partitions Weakly compact cardinal Ulam matrix Diamond for trees Parameterized proxy principle weak diamond Countryman line Almost Souslin higher Baire space Erdos Cardinal 54G20 Souslin Tree Martin's Axiom Club Guessing Singular Density Uniformly homogeneous PFA(S)[S] Intersection model middle diamond stationary reflection Minimal Walks Fat stationary set Rado's conjecture unbounded function Vanishing levels Absoluteness weak square Strong coloring Uniformly coherent S-Space strongly bounded groups Strongly compact cardinal Chromatic number Large Cardinals Cohen real diamond star Ostaszewski square Hedetniemi's conjecture Universal Sequences Analytic sets SNR Shelah's Strong Hypothesis Subnormal ideal Diamond-sharp Commutative cancellative semigroups Subadditive Prikry-type forcing Coherent tree O-space Closed coloring Successor of Regular Cardinal b-scale Postprocessing function Lipschitz reduction Knaster and friends square principles Successor of Singular Cardinal Non-saturation Cardinal Invariants Almost-disjoint family Erdos-Hajnal graphs Rainbow sets Knaster Square-Brackets Partition Relations regressive Souslin tree Almost countably chromatic Mandelbrot set Filter reflection Was Ulam right Greatly Mahlo Singular cofinality Iterated forcing Ineffable cardinal ZFC construction stick P-Ideal Dichotomy Well-behaved magma Local Club Condensation. Dushnik-Miller Rock n' Roll Fast club Axiom R C-sequence Commutative projection system PFA Small forcing coloring number weak Kurepa tree approachability ideal xbox Chang's conjecture sap Luzin set Diamond Sakurai's Bell inequality Reflecting stationary set Kurepa Hypothesis free Boolean algebra reflection principles countably metacompact Hereditarily Lindelöf space nonmeager set free Souslin tree Distributive tree square Subtle tree property incompactness Constructible Universe Singular cardinals combinatorics stationary hitting Hindman's Theorem Cardinal function Strongly Luzin set Uniformization super-Souslin tree HOD positive partition relation Reduced Power full tree L-space Sierpinski's onto mapping principle Selective Ultrafilter Antichain Amenable C-sequence Whitehead Problem Slim tree Aronszajn tree Respecting tree Generalized descriptive set theory indecomposable ultrafilter Foundations Poset projective Boolean algebra specializable Souslin tree Ascent Path Microscopic Approach Nonspecial tree polarized partition relation Forcing Forcing Axioms transformations club_AD Prevalent singular cardinals tensor product graph GMA Open Access OCA very good scale AIM forcing Jonsson cardinal Fodor-type reflection Subtle cardinal ccc
Tag Archives: 03E50
Jensen’s diamond principle and its relatives
This is chapter 6 in the book Set Theory and Its Applications (ISBN: 0821848127). Abstract: We survey some recent results on the validity of Jensen’s diamond principle at successor cardinals. We also discuss weakening of this principle such as club … Continue reading
