×

zbMATH — the first resource for mathematics

Stable homotopy theory of simplicial presheaves. (English) Zbl 0645.18006
By using appropriate (and natural) definitions of fibration, cofibration, and weak equivalence, the author proves that the category of presheaves of spectra of simplicial sets is a proper closed simplicial model category in the sense of Quillen. For the etale site of a “decent” scheme, the etale K-groups of Dwyer and Friedlander can then be captured as homotopy groups for this model structure.
Reviewer: D.H.van Osdol

MSC:
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
PDF BibTeX XML Cite
Full Text: DOI