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Stable Categories and Structured Ring Spectra: Mathematical Sciences Research Institute Publications, cartea 69

Editat de Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill
en Limba Engleză Hardback – 20 iul 2022
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.
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Specificații

ISBN-13: 9781009123297
ISBN-10: 1009123297
Pagini: 450
Dimensiuni: 162 x 240 x 30 mm
Greutate: 0.79 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Mathematical Sciences Research Institute Publications

Locul publicării:New York, United States

Cuprins

1. 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.

Descriere

A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.