All Questions
Tagged with infinity-topos-theory simplicial-presheaves
3
questions
9
votes
1
answer
547
views
Homotopy left-exactness of a left derived functor
Let
$$
F: \mathcal{C} \leftrightarrows \mathcal{D} :G
$$
be a Quillen adjunction between model categories. Consider the corresponding adjunction of total derived functors
$$
\mathbb{L}F: \mathrm{Ho}(\...
- 3,386
6
votes
0
answers
503
views
Is there a local projective model structure on simplicial sheaves? What are its fibrant objects?
Consider a site S (I am mostly interested in hypercomplete sites, e.g., the site of smooth manifolds).
The category of simplicial presheaves SPSh(S) on S can be equipped with the local projective ...
- 37.2k
11
votes
1
answer
1k
views
Necessary conditions for cofibrancy in global projective model structure on simplicial presheaves
Consider the global projective model category
of simplicial presheaves on some category
(the category of smooth manifolds is particularly interesting to me).
In Section 9.1 of Dugger's paper “...
- 37.2k