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