AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Rings, Modules, and Algebras in Stable Homotopy Theory
About this Title
A. D. Elmendorf, I. Kriz, M. A. Mandell and J. P. May. with an appendix by M. Cole
Publication: Mathematical Surveys and Monographs
Publication Year:
1997; Volume 47
ISBNs: 978-0-8218-4303-1 (print); 978-1-4704-1278-4 (online)
DOI: https://doi.org/10.1090/surv/047
MathSciNet review: MR1417719
MSC: Primary 55N20; Secondary 19D10, 19D55, 55P42, 55T25
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- I. Prologue: the category of $\mathbb {L}$-spectra
- II. Structured ring and module spectra
- III. The homotopy theory of $R$-modules
- IV. The algebraic theory of $R$-modules
- V. $R$-ring spectra and the specialization to $MU$
- VI. Algebraic $K$-theory of $S$-algebras
- VII. $R$-algebras and topological model categories
- VIII. Bousfield localizations of $R$-modules and algebras
- IX. Topological Hochschild homology and cohomology
- X. Some basic constructions on spectra
- XI. Spaces of linear isometries and technical theorems
- XII. The monadic bar construction
- XIII. Epilogue: The category of $\mathbb {L}$-spectra under $S$