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