Structured ring spectra /

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Bibliographic Details
Imprint:	Cambridge, UK ; New York : Cambridge University Press, 2004.
Description:	1 online resource (236 pages)
Language:	English
Series:	London Mathematical Society lecture notes series ; 315 London Mathematical Society lecture note series ; 315.
Subject:	Rings (Algebra) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory. Categories (Mathematics) Homotopy theory. Rings (Algebra) Spectral theory (Mathematics)
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11832293

Hidden Bibliographic Details
Other authors / contributors:	Baker, Andrew, 1953- Richter, Birgit, 1971-
ISBN:	9781107362635 1107362636 9780511529955 0511529953 9781107367548 1107367549 0521603056 9780521603058 1139882368 9781139882361 1107372100 9781107372108 1107368847 9781107368842 1299405169 9781299405165 1107365082 9781107365087
Notes:	Includes bibliographical references and index. English. Print version record.
Summary:	Within algebraic topology, the prominent role of multiplicative cohomology theories has led to a great deal of foundational research on ring spectra and in the 1990s this gave rise to significant new approaches to constructing categories of spectra and ring-like objects in them. This book contains some important new contributions to the theory of structured ring spectra as well as survey papers describing these and relationships between them. One important aspect is the study of strict multiplicative structures on spectra and the development of obstruction theories to imposing strictly associative and commutative ring structures on spectra. A different topic is the transfer of classical algebraic methods and ideas, such as Morita theory, to the world of stable homotopy.
Other form:	Print version: Structured ring spectra. Cambridge, UK ; New York : Cambridge University Press, 2004 0521603056

Table of Contents:

1. The development of structured ring spectra Anthony Elmendorf
2. Compromises forced by Lewis's Theorem Anthony Elmendorf
3. Permutative categories as a model of connective stable homotopy Anthony Elmendorf and Michael Mandell
4. Morita Theory in Abelian, derived and stable model categories Stefan Schwede
5. Higher coherences in equivariant K-theory Michael Joachim
6. Co-homology theories for commutative S-algebras Maria Basterra and Birgit Richter
7. Classical obstructions and S-algebras Alan Robinson
8. Moduli spaces of commutative ring spectra Paul Goerss and Michael Hopkins
9. Cohomology theories for highly structured ring spectra Andrey Lazarev.

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