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