Stable Categories and Structured Ring Spectra

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2022
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9781009123297
ISBN-10:	1009123297
Sprache:	Englisch
Einband:	Gebunden
Redaktion:	Blumberg, Andrew J. Gerhardt, Teena Hill, Michael A.
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	240 x 161 x 28 mm
Von/Mit:	Andrew J. Blumberg (u. a.)
Erscheinungsdatum:	01.07.2022
Gewicht:	0,825 kg