Stable Categories and Structured Ring Spectra
This comprehensive text focuses on the homotopical technology in useĀ at the forefront of modern algebraic topology. Following on from aĀ standard introductory algebraic topology sequence, it will provideĀ students with a comprehensive background in spectra and structuredĀ ring spectra. Each chapter is an extended tutorial by a leader in theĀ field, offering the first really accessible treatment of the modernĀ construction of the stable category in terms of both model categoriesĀ of point-set diagram spectra and infinity-categories. It is one of theĀ only textbook sources for operadic algebras, structured ring spectra,Ā and Bousfield localization, which are now basic techniques in theĀ field, and the book provides a rare expository treatment of spectralĀ algebraic geometry. Together the contributors ā Emily Riehl, DanielĀ Dugger, Clark Barwick, Michael A. Mandell, Birgit Richter, Tyler Lawson,Ā and Charles Rezk ā offer a complete, authoritative source to learn theĀ foundations of this vibrant area.
- Explains cutting-edge research on the foundations of spectra, stable categories, and structured ring spectra at a level appropriate for graduate students
- Chapters are written by some of the most prominent researchers in the area today
- Integrated treatment of model categories (point-set models) and infinity-categories (homotopy-coherent models) offers a bridge between the classical literature and modern techniques
This comprehensive text focuses on the homotopical technology in useĀ at the forefront of modern algebraic topology. Following on from aĀ standard introductory algebraic topology sequence, it will provideĀ students with a comprehensive background in spectra and structuredĀ ring spectra. Each chapter is an extended tutorial by a leader in theĀ field, offering the first really accessible treatment of the modernĀ construction of the stable category in terms of both model categoriesĀ of point-set diagram spectra and infinity-categories. It is one of theĀ only textbook sources for operadic algebras, structured ring spectra,Ā and Bousfield localization, which are now basic techniques in theĀ field, and the book provides a rare expository treatment of spectralĀ algebraic geometry. Together the contributors ā Emily Riehl, DanielĀ Dugger, Clark Barwick, Michael A. Mandell, Birgit Richter, Tyler Lawson,Ā and Charles Rezk ā offer a complete, authoritative source to learn theĀ foundations of this vibrant area.
- Explains cutting-edge research on the foundations of spectra, stable categories, and structured ring spectra at a level appropriate for graduate students
- Chapters are written by some of the most prominent researchers in the area today
- Integrated treatment of model categories (point-set models) and infinity-categories (homotopy-coherent models) offers a bridge between the classical literature and modern techniques
Original: $148.89
-65%$148.89
$52.11Description
This comprehensive text focuses on the homotopical technology in useĀ at the forefront of modern algebraic topology. Following on from aĀ standard introductory algebraic topology sequence, it will provideĀ students with a comprehensive background in spectra and structuredĀ ring spectra. Each chapter is an extended tutorial by a leader in theĀ field, offering the first really accessible treatment of the modernĀ construction of the stable category in terms of both model categoriesĀ of point-set diagram spectra and infinity-categories. It is one of theĀ only textbook sources for operadic algebras, structured ring spectra,Ā and Bousfield localization, which are now basic techniques in theĀ field, and the book provides a rare expository treatment of spectralĀ algebraic geometry. Together the contributors ā Emily Riehl, DanielĀ Dugger, Clark Barwick, Michael A. Mandell, Birgit Richter, Tyler Lawson,Ā and Charles Rezk ā offer a complete, authoritative source to learn theĀ foundations of this vibrant area.
- Explains cutting-edge research on the foundations of spectra, stable categories, and structured ring spectra at a level appropriate for graduate students
- Chapters are written by some of the most prominent researchers in the area today
- Integrated treatment of model categories (point-set models) and infinity-categories (homotopy-coherent models) offers a bridge between the classical literature and modern techniques
