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Stable Categories and Structured Ring Spectra
This 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.
Book Details
- Publisher: Cambridge University Press
- Publish Date: Jul 21st, 2022
- Pages: 450
- Language: English
- Edition: undefined - undefined
- Dimensions: 9.21in - 6.14in - 1.00in - 1.75lb
- EAN: 9781009123297
- Categories: • Topology - General
About the Author
Blumberg, Andrew J.: - Andrew J. Blumberg is Herbert and Florence Irving Professor of Cancer Data Research and Professor of Mathematics and Computer Science at Columbia University, New York.
Gerhardt, Teena: - Teena Gerhardt is an associate professor in the Department of Mathematics at Michigan State University.
Hill, Michael A.: - Michael A. Hill is Professor of Mathematics at the University of California, Los Angeles.
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