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diamond star PFA 54G20 Almost-disjoint family Iterated forcing nonmeager set Diamond for trees Luzin set Dowker space Generalized descriptive set theory O-space Axiom R C-sequence Strongly Luzin set Uniformly coherent Postprocessing function Cohen real Kurepa Hypothesis Subadditive transformations stationary hitting Ineffable cardinal Open Access Rainbow sets Erdos-Hajnal graphs positive partition relation Almost Souslin Constructible Universe Slim tree Forcing weak Kurepa tree Selective Ultrafilter Was Ulam right Vanishing levels Minimal Walks Mandelbrot set Prikry-type forcing Microscopic Approach weak diamond square principles super-Souslin tree Diamond-sharp Subtle cardinal ZFC construction AIM forcing Analytic sets Nonspecial tree Rado's conjecture Absoluteness Distributive tree xbox Countryman line HOD Small forcing Erdos Cardinal Sierpinski's onto mapping principle b-scale strongly bounded groups approachability ideal reflection principles Ascent Path projective Boolean algebra PFA(S)[S] Hedetniemi's conjecture Lipschitz reduction Sigma-Prikry Chromatic number Cardinal Invariants Generalized Clubs Closed coloring Subtle tree property Hereditarily Lindelöf space Whitehead Problem Sakurai's Bell inequality Martin's Axiom Fat stationary set Ramsey theory over partitions Commutative projection system ccc Precaliber Greatly Mahlo Poset Foundations Ulam matrix Filter reflection Subnormal ideal P-Ideal Dichotomy sap Parameterized proxy principle Local Club Condensation. Hindman's Theorem incompactness Singular cofinality Large Cardinals unbounded function Coherent tree Shelah's Strong Hypothesis GMA square Ostaszewski square Square-Brackets Partition Relations Diamond Fast club Rock n' Roll countably metacompact Souslin Tree stick Intersection model specializable Souslin tree weak square Cardinal function full tree Respecting tree L-space Uniformization Successor of Singular Cardinal Jonsson cardinal S-Space Non-saturation Singular Density Knaster and friends Amenable C-sequence Strongly compact cardinal Partition Relations indecomposable ultrafilter Strong coloring Chang's conjecture Commutative cancellative semigroups tensor product graph middle diamond polarized partition relation higher Baire space Dushnik-Miller Prevalent singular cardinals Knaster Aronszajn tree Forcing Axioms regressive Souslin tree stationary reflection Fodor-type reflection free Souslin tree Well-behaved magma SNR Successor of Regular Cardinal coloring number free Boolean algebra Club Guessing club_AD Universal Sequences Weakly compact cardinal Reflecting stationary set Singular cardinals combinatorics Reduced Power very good scale OCA Uniformly homogeneous Antichain Almost countably chromatic
Tag Archives: middle diamond
The search for diamonds
Abstract: This is a review I wrote for the Bulletin of Symbolic Logic on the following papers: Saharon Shelah, Middle Diamond, Archive for Mathematical Logic, vol. 44 (2005), pp. 527–560. Saharon Shelah, Diamonds, Proceedings of the American Mathematical Society, vol. … Continue reading
Posted in Publications, Reviews, Squares and Diamonds
Tagged Diamond, middle diamond, weak diamond, weak square
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