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Results tagged with simplicial-presheaves
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A simplicial presheaf is a presheaf on a site (e.g., the category of topological spaces) taking values in simplicial sets (i.e., a contravariant functor from the site to the category of simplicial sets).
11
votes
1
answer
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Necessary conditions for cofibrancy in global projective model structure on simplicial presh...
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 “Univers …
- 37.8k
11
votes
1
answer
495
views
Is there a practical criterion to determine whether the limit of a diagram of real chain com...
Consider a diagram D: I→ChR of real connective chain complexes.
In the example I have in mind all chain complexes are concentrated in some fixed degree n.
There is a canonical map lim D → holim D fro …
- 37.8k
7
votes
0
answers
511
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Is there a local projective model structure on simplicial sheaves? What are its fibrant obj...
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 mode …
- 37.8k