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