Abstract
We prove a general version of Quillen’s Theorem B, for actions of simplicial categories, in an arbitrary left Bousfield localization of the homotopy theory of simplicial presheaves over a site. As special cases, we recover a version of the group completion theorem in this general context, as well a version of Puppe’s theorem on the stability of homotopy colimits in an –topos, due to Rezk.
Citation
Ieke Moerdijk. Joost Nuiten. "An extension of Quillen's Theorem B." Algebr. Geom. Topol. 20 (4) 1769 - 1794, 2020. https://doi.org/10.2140/agt.2020.20.1769
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