Stable Categories and Structured Ring Spectra

This comprehensive text focuses on the homotopical technology in useat the forefront of modern algebraic topology. Following on from astandard introductory algebraic topology sequence, it will providestudents with a comprehensive background in spectra and structuredring spectra. Each chapter is an extended tutorial by a leader in thefield, offering the first really accessible treatment of the modernconstruction of the stable category in terms of both model categoriesof point-set diagram spectra and infinity-categories. It is one of theonly textbook sources for operadic algebras, structured ring spectra,and Bousfield localization, which are now basic techniques in thefield, and the book provides a rare expository treatment of spectralalgebraic geometry. Together the contributors - Emily Riehl, DanielDugger, Clark Barwick, Michael A. Mandell, Birgit Richter, Tyler Lawson,and Charles Rezk - offer a complete, authoritative source to learn thefoundations of this vibrant area.