Free Delivery Over $100
|
|
|||
|
||||
OverviewThis comprehensive text focuses on the homotopical technology in use at the forefront of modern algebraic topology. Following on from a standard introductory algebraic topology sequence, it will provide students with a comprehensive background in spectra and structured ring spectra. Each chapter is an extended tutorial by a leader in the field, offering the first really accessible treatment of the modern construction of the stable category in terms of both model categories of point-set diagram spectra and infinity-categories. It is one of the only textbook sources for operadic algebras, structured ring spectra, and Bousfield localization, which are now basic techniques in the field, and the book provides a rare expository treatment of spectral algebraic geometry. Together the contributors — Emily Riehl, Daniel Dugger, Clark Barwick, Michael A. Mandell, Birgit Richter, Tyler Lawson, and Charles Rezk — offer a complete, authoritative source to learn the foundations of this vibrant area. Full Product DetailsAuthor: Andrew J. Blumberg (Columbia University, New York) , Teena Gerhardt (Michigan State University) , Michael A. Hill (University of California, Los Angeles)Publisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 16.20cm , Height: 3.00cm , Length: 24.00cm Weight: 0.820kg ISBN: 9781009123297ISBN 10: 1009123297 Pages: 450 Publication Date: 21 July 2022 Audience: General/trade , General Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Introduction Andrew J. Blumberg, Teena Gerhardt, and Michael A. Hill; 2. Homotopical categories: from model categories to (∞,1)-categories Emily Riehl; 3. Stable categories and spectra via model categories Daniel Dugger; 4. Stable homotopy theory via ∞-categories Clark Barwick; 5. Operads and operadic algebras in homotopy theory Michael A. Mandell; 6. Commutative ring spectra Birgit Richter; 7. An introduction to Bousfield localization Tyler Lawson; 8. Spectral algebraic geometry Charles Rezk; Bibliography; Index.ReviewsAuthor InformationAndrew J. Blumberg is Herbert and Florence Irving Professor of Cancer Data Research and Professor of Mathematics and Computer Science at Columbia University, New York. Teena Gerhardt is an associate professor in the Department of Mathematics at Michigan State University. Michael A. Hill is Professor of Mathematics at the University of California, Los Angeles. Tab Content 6Author Website:Countries AvailableAll regions |
||||
