nLab
Rings, modules and algebras in stable homotopy theory
This page collects material related to
on higher algebra (brave new algebra) in stable homotopy theory, i.e. on ring spectra, module spectra etc. This was the first to give a symmetric monoidal model category of spectra (called S-modules), in which $A_\infty$ and $E_\infty$-ring spectra could be defined as ordinary monoids and modules. The book is sometimes referred to as EKMM for short, after the initials of its authors.
Contents
Chapter I. Prologue: the category of $\mathbb{L}$-spectra
Chapter II. Structured ring and module spectra
Chapter III. The homotopy theory of $R$-Modules
Chapter IV. The algebraic theory of $R$-modules
Chapter V. $R$-Ring spectra and the specialization to $MU$
Chapter VI. Algebraic K-theory of $S$-algebras
Chapter VII. $R$-algebras and topological model categories
Chapter VIII. Bousfield localization of $R$-modules and algebras
Chapter IX. Topological Hochschild homology and cohomology
Chapter X. Some basic constructions on spectra
Chapter XI. Spaces of linear isometries and technical theorems
Chapter XII. The monadic bar construction
Chapter XIII. Epilogue. The category of $\mathbb{L}$-spectra under $S$
Revised on September 8, 2017 06:56:46
by
Dexter Chua
(223.19.95.149)