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