TY  - BOOK
AU  - Baker,Andrew
AU  - Richter,Birgit
TI  - Structured ring spectra
T2  - London Mathematical Society lecture note series
SN  - 9780511529955 (ebook)
AV  - QA247 .S84 2004
U1  - 512/.4 22
PY  - 2004///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Rings (Algebra)
KW  - Spectral theory (Mathematics)
KW  - Categories (Mathematics)
KW  - Homotopy theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511529955
ER  -