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perfectly normal Rock n' Roll Club Guessing Strongly Luzin set approachability ideal Subtle tree property Dowker space Hindman's Theorem HOD club_AD nonmeager set stick Almost countably chromatic Luzin set Open Access projective Boolean algebra Iterated forcing Singular cofinality Ulam matrix Almost Souslin Distributive tree Ascent Path incompactness free Souslin tree OCA Subadditive O-space reflection principles C-sequence Chromatic number Small forcing Jonsson cardinal Generalized descriptive set theory Fat stationary set Minimal Walks PFA Fast club Closed coloring Non-saturation super-Souslin tree indecomposable filter Precaliber regressive Souslin tree Weakly compact cardinal square principles Mandelbrot set SNR Poset Axiom R Strong coloring weak Kurepa tree positive partition relation Erdos Cardinal stationary reflection Reduced Power Foundations Uniformization very good scale Hereditarily Lindelöf space Souslin Tree weak square Amenable C-sequence Countryman line Universal Sequences Forcing with side conditions full tree free Boolean algebra Diamond for trees Ineffable cardinal Forcing diamond star ccc strongly bounded groups transformations unbounded function Uniformly homogeneous Uniformly coherent 54G20 stationary hitting Reflecting stationary set Cardinal Invariants Large Cardinals Intersection model Commutative projection system Ramsey theory over partitions Kurepa Hypothesis Cardinal function Sakurai's Bell inequality Filter reflection L-space Local Club Condensation. Cohen real Successor of Singular Cardinal Almost-disjoint family Chang's conjecture higher Baire space Was Ulam right? countably metacompact Sierpinski's onto mapping principle Well-behaved magma Vanishing levels Commutative cancellative semigroups Sigma-Prikry Shelah's Strong Hypothesis Hedetniemi's conjecture tensor product graph Erdos-Hajnal graphs Rado's conjecture Antichain Whitehead Problem Monotonically far Knaster and friends Prikry-type forcing Constructible Universe Knaster Postprocessing function Partition Relations Successor of Regular Cardinal Diamond-sharp Singular cardinals combinatorics Diamond Strongly compact cardinal Analytic sets Lipschitz reduction middle diamond coloring number Interval topology on trees Microscopic Approach Square-Brackets Partition Relations square Parameterized proxy principle Nonspecial tree Absoluteness Subnormal ideal Forcing Axioms Fodor-type reflection Entangled linear order Subtle cardinal xbox Generalized Clubs polarized partition relation Selective Ultrafilter specializable Souslin tree P-Ideal Dichotomy GMA Dushnik-Miller Ascending path Rainbow sets S-Space b-scale Ostaszewski square Coherent tree ZFC construction Greatly Mahlo Prevalent singular cardinals AIM forcing weak diamond PFA(S)[S] Aronszajn tree Slim tree Singular Density Respecting tree sap Martin's Axiom
Category Archives: Reviews
Review: Stevo Todorcevic’s CRM-Fields-PIMS Prize Lecture
After winning the 2012 CRM-Fields-PIMS Prize, Stevo Todorcevic gave a series of talks on his research: at CRM, at PIMS and at the Fields Institute. The director of the Fields Institute asked me to write a short review on Stevo’s … Continue reading
Review: Is classical set theory compatible with quantum experiments?
Yesterday, I attended a talk at the Quantum Foundations seminar at the beautiful Perimeter Institute for Theoretical Physics (Waterloo, Ontario). The (somewhat provocative) title of the talk was “Is Classical Set Theory Compatible with Quantum Experiments?”, and the speaker was Radu … Continue reading
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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