Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128
()
About this ebook
Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an up-to-date text on that topic.
Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CW-complex, and suspension. Next the machinery of complex cobordism, Morava K-theory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group.
Douglas C. Ravenel
Douglas C. Ravenel is Professor of Mathematics at the University of Rochester.
Related to Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128
Titles in the series (100)
The Two-Valued Iterative Systems of Mathematical Logic. (AM-5), Volume 5 Rating: 0 out of 5 stars0 ratingsConvergence and Uniformity in Topology. (AM-2), Volume 2 Rating: 0 out of 5 stars0 ratingsTopics in Topology. (AM-10), Volume 10 Rating: 0 out of 5 stars0 ratingsFinite Dimensional Vector Spaces. (AM-7), Volume 7 Rating: 4 out of 5 stars4/5Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III Rating: 0 out of 5 stars0 ratingsA Theory of Cross-Spaces. (AM-26), Volume 26 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-29), Volume II Rating: 0 out of 5 stars0 ratingsMeromorphic Functions and Analytic Curves. (AM-12) Rating: 0 out of 5 stars0 ratingsIsoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 Rating: 0 out of 5 stars0 ratingsConsistency of the Continuum Hypothesis. (AM-3), Volume 3 Rating: 0 out of 5 stars0 ratingsAlgebraic Theory of Numbers. (AM-1), Volume 1 Rating: 0 out of 5 stars0 ratingsProbleme General de la Stabilite du Mouvement. (AM-17), Volume 17 Rating: 0 out of 5 stars0 ratingsAn Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 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 ratingsContributions to Fourier Analysis. (AM-25) Rating: 0 out of 5 stars0 ratingsLectures on Differential Equations. (AM-14), Volume 14 Rating: 0 out of 5 stars0 ratingsIntroduction to Non-Linear Mechanics. (AM-11), Volume 11 Rating: 0 out of 5 stars0 ratingsLectures on the Theory of Games (AM-37) Rating: 1 out of 5 stars1/5Functional Operators (AM-22), Volume 2: The Geometry of Orthogonal Spaces. (AM-22) Rating: 0 out of 5 stars0 ratingsMetric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) Rating: 0 out of 5 stars0 ratingsThe Calculi of Lambda-Conversion (AM-6), Volume 6 Rating: 4 out of 5 stars4/5Transcendental Numbers. (AM-16) Rating: 0 out of 5 stars0 ratingsExistence Theorems in Partial Differential Equations. (AM-23), Volume 23 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Nonlinear Oscillations (AM-20), 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 ratingsContributions to the Theory of Games (AM-28), Volume II Rating: 0 out of 5 stars0 ratingsOrder-Preserving Maps and Integration Processes. (AM-31), Volume 31 Rating: 0 out of 5 stars0 ratingsAutomata Studies. (AM-34), Volume 34 Rating: 5 out of 5 stars5/5Surface Area. (AM-35), Volume 35 Rating: 0 out of 5 stars0 ratingsContributions to the Theory of Games (AM-24), Volume I Rating: 0 out of 5 stars0 ratings
Related ebooks
Complex Dynamics and Renormalization (AM-135), Volume 135 Rating: 4 out of 5 stars4/5Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 Rating: 0 out of 5 stars0 ratingsIntroduction to Inductively Coupled Plasma Atomic Emission Spectrometry Rating: 0 out of 5 stars0 ratingsCausal Symmetric Spaces Rating: 0 out of 5 stars0 ratingsProfinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 Rating: 0 out of 5 stars0 ratingsModels of Particles and Moving Media Rating: 0 out of 5 stars0 ratingsAutomorphic Forms on Adele Groups. (AM-83), Volume 83 Rating: 0 out of 5 stars0 ratingsPrinceton Problems in Physics with Solutions Rating: 4 out of 5 stars4/5Liquid Chromatography in Biomedical Analysis Rating: 0 out of 5 stars0 ratingsReservoir Sedimentation Rating: 0 out of 5 stars0 ratingsKeynotes in Energy-Related Catalysis Rating: 0 out of 5 stars0 ratingsThree-Dimensional Problems of Elasticity and Thermoelasticity Rating: 0 out of 5 stars0 ratingsAngular Momentum in Quantum Mechanics Rating: 0 out of 5 stars0 ratingsChemical Weapons Destruction and Explosive Waste: Unexploded Ordinance Remediations Rating: 0 out of 5 stars0 ratingsRibonucleases: Structures and Functions Rating: 0 out of 5 stars0 ratingsSurfaces and their Measurement Rating: 3 out of 5 stars3/5Cognitive Reliability and Error Analysis Method (CREAM) Rating: 5 out of 5 stars5/5Cohesion and Structure of Surfaces Rating: 0 out of 5 stars0 ratingsTracers in the Oil Field Rating: 5 out of 5 stars5/5Selective Sample Handling and Detection in High-Performance Liquid Chromatography Rating: 0 out of 5 stars0 ratingsAqueous Size-Exclusion Chromatography Rating: 0 out of 5 stars0 ratingsSingularities & Dynamical Systems Rating: 0 out of 5 stars0 ratingsOptical Solitons: From Fibers to Photonic Crystals Rating: 0 out of 5 stars0 ratingsGradient Elution in Column Liquid Chromatography: Theory and Practice Rating: 0 out of 5 stars0 ratingsOn Knots. (AM-115), Volume 115 Rating: 4 out of 5 stars4/5Four Faces of Anger: Seneca, Evagrius Ponticus, Cassian, and Augustine Rating: 0 out of 5 stars0 ratingsSeminar on the Atiyah-Singer Index Theorem. (AM-57), Volume 57 Rating: 0 out of 5 stars0 ratingsProbabilistic Safety Assessment in the Chemical and Nuclear Industries Rating: 0 out of 5 stars0 ratingsGlobal Biogeochemical Cycles in the Climate System Rating: 0 out of 5 stars0 ratingsFundamentals of Marine Acoustics Rating: 5 out of 5 stars5/5
Mathematics For You
Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Geometry For Dummies Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Painless Algebra Rating: 0 out of 5 stars0 ratingsCalculus Essentials For Dummies Rating: 5 out of 5 stars5/5Flatland 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 stars5/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsIntroducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5
Reviews for Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128
0 ratings0 reviews