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Results tagged with simplicial-presheaves
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user 392998
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).
3
votes
1
answer
294
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Can homotopy limits of simplicial sheaves be calculated (correctly) using sheaves of Kan com...
$\DeclareMathOperator\holim{holim}$
Let $sSh$ be the category of simplicial sheaves on some site (I like using the psychological crutch of the site having enough points; further, to clarify a bit, "si …
- 563
6
votes
1
answer
427
views
Homotopy quotients, fixed points and stalks of simplicial (pre)sheaves
$\DeclareMathOperator\holim{holim}\DeclareMathOperator\hocolim{hocolim}$Let $\mathcal{F}$ be a simplicial (pre)sheaf on some site $\mathcal{C}$ (assume the site has enough stalks; if you like also ass …
- 563
1
vote
0
answers
103
views
Invariance of categories of sheaves (on simplicial presheaves) under (local) weak equivalence
Let $\mathcal{C}$ be a Grothendieck site (secretly in my head I am thinking of Hausdorff topological spaces with open covers; if I am daring I might be thinking of the big etale site on complex variet …
- 563