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