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