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Structured Ring Spectra : London Mathematical Society Lecture Note Series - Andrew Baker

Structured Ring Spectra

London Mathematical Society Lecture Note Series

By: Andrew Baker (Editor), Birgit Richter (Editor)

Paperback

Published: 22nd November 2004
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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.

The development of structured ring spectra
Compromises forced
Permutative categories as a model of connective stable homotopy
Morita Theory in Abelian, derived and stable model categories
Higher coherences in equivariant K-theory
Co-homology theories for commutative S-algebras
Classical obstructions and S-algebras
Moduli spaces of commutative ring spectra
Cohomology theories for highly structured ring spectra
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521603058
ISBN-10: 0521603056
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 240
Published: 22nd November 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.5
Weight (kg): 0.34