Stable Categories and Structured Ring Spectra

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Andrew J. Blumberg (Columbia University, New York) Teena Gerhardt (Michigan State University)

Stable Categories and Structured Ring Spectra

Andrew J. Blumberg (Columbia University, New York), Teena Gerhardt (Michigan State University), Michael A. Hill (University of California, Los Angeles)

$207.95

Hardback

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English

Cambridge University Press
21 July 2022

Algebraic topology

Series: Mathematical Sciences Research Institute Publications

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.

Edited by: Andrew J. Blumberg (Columbia University New York), Teena Gerhardt (Michigan State University), Michael A. Hill (University of California, Los Angeles)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 240mm, Width: 162mm, Spine: 30mm
Weight: 820g
ISBN: 9781009123297
ISBN 10: 1009123297
Series: Mathematical Sciences Research Institute Publications
Pages: 450
Publication Date: 21 July 2022
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

Andrew J. Blumberg is Herbert and Florence Irving Professor of Cancer Data Research and Professor of Mathematics and Computer Science at Columbia University, New York. Teena Gerhardt is an associate professor in the Department of Mathematics at Michigan State University. Michael A. Hill is Professor of Mathematics at the University of California, Los Angeles.

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Stable Categories and Structured Ring Spectra

Andrew J. Blumberg (Columbia University, New York), Teena Gerhardt (Michigan State University), Michael A. Hill (University of California, Los Angeles)

$207.95

Hardback

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