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