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2005-09-23

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/96489

Homotopical localizations of module spectra

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http://dx.doi.org/10.1090/S0002-9947-04-03552-4

Abstract

We prove that stable $f$-localizations (where $f$ 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-MacLane spectrum $H{\mathbb{Z} }$. 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.

Subject

Teoria de l'homotopia

Subject (English)

Homotopy theory

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Articles publicats en revistes (Matemàtiques i Informàtica)

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CASACUBERTA, Carles and GUTIÉRREZ MARÍN, Javier J. Homotopical localizations of module spectra. Transactions of the American Mathematical Society. 2005. Vol. 357, num. 7, pags. 2753-2770. ISSN 0002-9947. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/96489

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