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Stable Categories and Structured Ring Spectra.
・ISBN 978-1-009-12329-7 hard GB£ 120.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-009-12895-7
| 著者・編者 | Blumberg, Andrew J. / Gerhardt, Teena / Hill, Michael A. (eds.), |
|---|---|
| シリーズ | Mathematical Sciences Research Institute Publications |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2022 |
| ページ数 | 450 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-16014> |
解説
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.