Fibrant presheaves of spectra and Guillén-Navarro extension

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Title:	Fibrant presheaves of spectra and Guillén-Navarro extension
Author:	Rubió Pons, Llorenç
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	In this remark we prove that the Guillén-Navarro extension of a presheaf of spectra in the category of algebraic varieties over a field of characteristic zero, when exists, coincides up to weak equivalence with the fibrant replacement of the presheaf in the injective model category structure with the cd-topology of abstract blow-ups.
Subject(s):	-Algebraic topology -Guillén-Navarro extension -presheaf of spectra -cd-topology -fibrant replacement -Topologia algèbrica -Classificació AMS::55 Algebraic topology
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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