# nLab model structure on cubical presheaves

Contents

model category

## Model structures

for ∞-groupoids

### for $(\infty,1)$-sheaves / $\infty$-stacks

#### $(\infty,1)$-Topos Theory

(∞,1)-topos theory

## Constructions

structures in a cohesive (∞,1)-topos

# Contents

## Idea

Given a site, there is a model category structure on the category of cubical objects in the presheaf topos over that site, hence on the category of cubical set-valued presheaves, such that at least the corresponding homotopy category is equivalent to that of the corresponding local model structure on simplicial presheaves (Jardine 03, theorem 71) (the latter being known to present the (infinity,1)-topos over the given site).

## References

Created on April 16, 2015 at 05:23:54. See the history of this page for a list of all contributions to it.