About this product

Product Identifiers

PublisherCambridge University Press

ISBN-101009123297

ISBN-139781009123297

eBay Product ID (ePID)20057251833

Product Key Features

Number of Pages450 Pages

Publication NameStable Categories and Structured Ring Spectra

LanguageEnglish

Publication Year2022

SubjectGeneral, Topology

TypeTextbook

AuthorTeena Gerhardt

Subject AreaMathematics

SeriesMathematical Sciences Research Institute Publications

FormatHardcover

Dimensions

Item Height1.2 in

Item Length9.4 in

Item Width6.4 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2022-010099

Dewey Edition23

Series Volume NumberSeries Number 69

IllustratedYes

Dewey Decimal514.24

Table Of Content1. 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.

SynopsisThis 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. Rezk -- offer a complete, authoritative source to learn the foundations of this vibrant area. Rezk -- offer a complete, authoritative source to learn the foundations of this vibrant area. Rezk -- offer a complete, authoritative source to learn the foundations of this vibrant area., This comprehensive text focuses on the homotopical technology at the forefront of modern algebraic topology. Extended tutorial chapters by leaders in the field offer an authoritative and accessible treatment of the modern construction of the stable category in terms of both model categories of point-set diagram spectra and infinity-categories.

LC Classification NumberQA612.7