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