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