Homotopy theory of relative simplicial presheaves

Abstract

We show that a category $\mathcal{M}$ equipped with a model structure defined by a proper, locally small class of orbits $\mathcal{O}$ is Quillen equivalent to the category of small relative presheaves $\mathcal{P}(\mathcal{M},\mathcal{O})$.

10 pages, accepted for publication by the Israel Journal of Mathematics

References in corpus (1)

• Locally class-presentable and class-accessible categories

Cited by in corpus (2)

• The effective model structure and $\infty$-groupoid objects
• A variant of a Dwyer-Kan theorem for model categories