1. Homotopical localizations of module spectra
- Author
-
Carles Casacuberta, Javier J. Gutiérrez, and Universitat de Barcelona
- Subjects
Pure mathematics ,Class (set theory) ,Teoria de l'homotopia ,Homotopy theory ,Applied Mathematics ,General Mathematics ,Spectrum (topology) ,Ring spectrum ,Spectral line ,Mathematics - Abstract
We prove that stable f f -localizations (where f f is any map of spectra) preserve ring spectrum structures and module spectrum structures, under suitable hypotheses, and we use this fact to describe all possible localizations of the integral Eilenberg–Mac Lane spectrum H Z H{\mathbb {Z}} . As a consequence of this study, we infer that localizations of stable GEMs are stable GEMs, and it also follows that there is a proper class of nonequivalent stable localizations.
- Published
- 2004
- Full Text
- View/download PDF