Description 
1 online resource (236 pages) 
Series 
London Mathematical Society lecture notes series ; 315 

London Mathematical Society lecture note series ; 315.

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 Ktheory Michael Joachim  6. Cohomology theories for commutative Salgebras Maria Basterra and Birgit Richter  7. Classical obstructions and Salgebras Alan Robinson  8. Moduli spaces of commutative ring spectra Paul Goerss and Michael Hopkins  9. Cohomology theories for highly structured ring spectra Andrey Lazarev 
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 ringlike 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 
Bibliography 
Includes bibliographical references and index 
Notes 
English 

Print version record 
Subject 
Rings (Algebra)


Spectral theory (Mathematics)


Categories (Mathematics)


Homotopy theory.


MATHEMATICS  Algebra  Intermediate.


Categories (Mathematics)


Homotopy theory


Rings (Algebra)


Spectral theory (Mathematics)


Idealtheorie


Ring Mathematik


Spektraltheorie


Álgebra homológica (congressos)


Álgebra abstrata (congressos)

Genre/Form 
Modul (Mathematik)

Form 
Electronic book

Author 
Baker, Andrew, 1953


Richter, Birgit, 1971

LC no. 
2004055294 
ISBN 
9781107362635 

1107362636 

9780511529955 

0511529953 

9781107367548 

1107367549 

1139882368 

9781139882361 

1107372100 

9781107372108 

1107368847 

9781107368842 

1299405169 

9781299405165 

1107365082 

9781107365087 
