Exactness of Bousfield localizations of simplicial presheaves and local lifting

Abstract

We show that weak equivalences in a (cofibrantly generated) left Bousfield localization of the projective model category of simplicial presheaves can be characterized by a local lifting property if and only if the localization is exact.

References in corpus (2)

• The linearity of traces in monoidal categories and bicategories
• Model category structures on simplicial objects