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8 votes
1 answer
289 views

Injective model structure on sheaves of bounded complexes of $A$-modules

The following might be very well known for people who works with model categories, but I do not find the answer. Let $A$-be a ring. Denote $\mathbf{Ch}_+(A)$ the category of positive degree cochain ...
Tintin's user avatar
  • 2,871
6 votes
0 answers
104 views

Is the derived category of sheaves localised at pointwise homotopy equivalences locally small?

In order to define the cup and cross products in sheaf cohomology, Iversen makes computations in an intermediate derived category. If $K(X;k)$ is the triangulated category of cochain complexes of ...
FShrike's user avatar
  • 1,020
6 votes
1 answer
221 views

When is derived category of ringed space perfectly generated?

Let $(X,\mathcal{O})$ be a ringed space. Also assume that $X$ is nice, e.g. locally compact, Hausdorff, some type of finite dimension, ... We can then consider $\mathcal{D}(\mathcal{O}\text{-}Mod)$. ...
Rene Recktenwald's user avatar