Geodesic
Epimorphic covers make $R^+_G$ a site, for profinite $G$
Theory and applications of categories, Tome 22 (2009), pp. 388-400.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

Let $G$ be a non-finite profinite group and let $G-Sets_{df}$ be the canonical site of finite discrete $G$-sets. Then the category $R^+_G$, defined by Devinatz and Hopkins, is the category obtained by considering $G-Sets_{df}$ together with the profinite $G$-space $G$ itself, with morphisms being continuous $G$-equivariant maps. We show that $R^+_G$ is a site when equipped with the pretopology of epimorphic covers. We point out that presheaves of spectra on $R^+_G$ are an efficient way of organizing the data that is obtained by taking the homotopy fixed points of a continuous $G$-spectrum with respect to the open subgroups of $G$. Additionally, utilizing the result that $R^+_G$ is a site, we describe various model category structures on the category of presheaves of spectra on $R^+_G$ and make some observations about them.
Classification : 55P42, 55U35, 18B25
Keywords: site, profinite group, finite discrete $G$-sets, presheaves of spectra, Lubin-Tate spectrum, continuous $G$-spectrum 
@article{TAC_2009_22_a15,
     author = {Daniel G. Davis},
     title = {Epimorphic covers make $R^+_G$ a site, for profinite $G$},
     journal = {Theory and applications of categories},
     pages = {388--400},
     publisher = {mathdoc},
     volume = {22},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2009_22_a15/}
}
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Daniel G. Davis. Epimorphic covers make $R^+_G$ a site, for profinite $G$. Theory and applications of categories, Tome 22 (2009), pp. 388-400. http://geodesic.mathdoc.fr/item/TAC_2009_22_a15/