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