Triangulated Categories. (AM-148), Volume 148
By Amnon Neeman
()
About this ebook
The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics.
Amnon Neeman
Amnon Neeman holds a Ph.D. in algebraic geometry from Harvard University. He has taught at Princeton University and the University of Virginia and is currently Senior Visiting Fellow at the Australian National University in Canberra. He has published widely on derived and triangulated categories.
Related to Triangulated Categories. (AM-148), Volume 148
Titles in the series (100)
Algebraic Theory of Numbers. (AM-1), Volume 1 Rating: 0 out of 5 stars0 ratingsDegree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 Rating: 0 out of 5 stars0 ratingsFunctional Operators (AM-22), Volume 2: The Geometry of Orthogonal Spaces. (AM-22) Rating: 0 out of 5 stars0 ratingsThe Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Consistency of the Continuum Hypothesis. (AM-3), Volume 3 Rating: 0 out of 5 stars0 ratingsFinite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Rating: 0 out of 5 stars0 ratingsTranscendental Numbers. (AM-16) Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-28), Volume II Rating: 0 out of 5 stars0 ratingsExistence Theorems in Partial Differential Equations. (AM-23), Volume 23 Rating: 0 out of 5 stars0 ratingsCurvature and Betti Numbers. (AM-32), Volume 32 Rating: 0 out of 5 stars0 ratingsIsoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 Rating: 0 out of 5 stars0 ratingsTopics in Topology. (AM-10), Volume 10 Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Linear Mechanics. (AM-11), Volume 11 Rating: 0 out of 5 stars0 ratingsA Theory of Cross-Spaces. (AM-26), Volume 26 Rating: 0 out of 5 stars0 ratingsProbleme General de la Stabilite du Mouvement. (AM-17), Volume 17 Rating: 0 out of 5 stars0 ratingsThe Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5 Rating: 0 out of 5 stars0 ratingsLectures on Differential Equations. (AM-14), Volume 14 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-20), Volume I Rating: 0 out of 5 stars0 ratingsConvergence and Uniformity in Topology. (AM-2), Volume 2 Rating: 0 out of 5 stars0 ratingsAn Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 Rating: 0 out of 5 stars0 ratingsAn Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 Rating: 0 out of 5 stars0 ratingsFunctional Operators (AM-21), Volume 1: Measures and Integrals. (AM-21) Rating: 0 out of 5 stars0 ratingsOrder-Preserving Maps and Integration Processes. (AM-31), Volume 31 Rating: 0 out of 5 stars0 ratingsSurface Area. (AM-35), Volume 35 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Partial Differential Equations. (AM-33), Volume 33 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-24), Volume I Rating: 0 out of 5 stars0 ratingsTopological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 Rating: 0 out of 5 stars0 ratingsLectures on Fourier Integrals. (AM-42), Volume 42 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Riemann Surfaces. (AM-30), Volume 30 Rating: 0 out of 5 stars0 ratings
Related ebooks
Modular Forms and Special Cycles on Shimura Curves. (AM-161) Rating: 0 out of 5 stars0 ratingsClassifying Spaces of Degenerating Polarized Hodge Structures. (AM-169) Rating: 0 out of 5 stars0 ratingsOn the Cohomology of Certain Non-Compact Shimura Varieties (AM-173) Rating: 0 out of 5 stars0 ratingsDiscrete Computational Structures Rating: 0 out of 5 stars0 ratingsAnalysis in Vector Spaces Rating: 0 out of 5 stars0 ratingsDiscrete Fourier Analysis and Wavelets: Applications to Signal and Image Processing Rating: 0 out of 5 stars0 ratingsQuantum Theory of the Solid State A Rating: 0 out of 5 stars0 ratingsAdvanced Topological Insulators Rating: 0 out of 5 stars0 ratingsComputer-Assisted Instruction at Stanford, 1966-68: Data, Models, and Evaluation of the Arithmetic Programs Rating: 0 out of 5 stars0 ratingsSTM and SFM in Biology Rating: 0 out of 5 stars0 ratingsProperties of Group-IV, III-V and II-VI Semiconductors Rating: 0 out of 5 stars0 ratingsSome Modern Mathematics for Physicists and Other Outsiders: An Introduction to Algebra, Topology, and Functional Analysis Rating: 0 out of 5 stars0 ratingsA Rational Finite Element Basis Rating: 0 out of 5 stars0 ratingsCollege Algebra and Trigonometry Rating: 2 out of 5 stars2/5Applied Group Theory: Selected Readings in Physics Rating: 0 out of 5 stars0 ratingsSolving Partial Differential Equation Applications with PDE2D Rating: 0 out of 5 stars0 ratingsThe Physics of Elementary Particles Rating: 5 out of 5 stars5/5Modeling with Data: Tools and Techniques for Scientific Computing Rating: 3 out of 5 stars3/5Calculus of One Variable Rating: 3 out of 5 stars3/5Applied Group Theory: The Commonwealth and International Library: Selected Readings in Physics Rating: 0 out of 5 stars0 ratingsBinary Digital Image Processing: A Discrete Approach Rating: 0 out of 5 stars0 ratingsProbing the Atom: Interactions of Coupled States, Fast Beams, and Loose Electrons Rating: 2 out of 5 stars2/5Energy Principles and Variational Methods in Applied Mechanics Rating: 0 out of 5 stars0 ratingsExactly Solved Models in Statistical Mechanics Rating: 0 out of 5 stars0 ratingsProbability, Statistics, and Queueing Theory Rating: 5 out of 5 stars5/5Multivariable Calculus, Linear Algebra, and Differential Equations Rating: 4 out of 5 stars4/5Heterostructure Lasers Part B Rating: 0 out of 5 stars0 ratingsPlanar Graphs: Theory and Algorithms Rating: 4 out of 5 stars4/5Quantum Theory of the Solid State: Volume 2 Rating: 4 out of 5 stars4/5Symmetry Groups and Their Applications Rating: 0 out of 5 stars0 ratings
Mathematics For You
Algebra - The Very Basics Rating: 5 out of 5 stars5/5Basic Math Notes Rating: 5 out of 5 stars5/5Geometry For Dummies Rating: 5 out of 5 stars5/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5Calculus For Dummies Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5The Elements of Euclid for the Use of Schools and Colleges (Illustrated) Rating: 0 out of 5 stars0 ratingsThe Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsThe Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5GED® Math Test Tutor, 2nd Edition Rating: 0 out of 5 stars0 ratingsLogicomix: An epic search for truth Rating: 4 out of 5 stars4/5Algebra I For Dummies Rating: 4 out of 5 stars4/5
Reviews for Triangulated Categories. (AM-148), Volume 148
0 ratings0 reviews