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Results tagged with at.algebraic-topology
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user 82627
Homotopy theory, homological algebra, algebraic treatments of manifolds.
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Why is the flat cotorsion pair actually a cotorsion pair?
I asked this question some while ago on Stack Exchange but didn't get an answer (link), so I am trying it here as well.
Fix a ringed space $(X,\mathcal{O})$ and denote by $\mathcal{F}$ the class of f …
- 501
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Accepted
Why is the flat cotorsion pair actually a cotorsion pair?
The category of sheaves on a ringed space is a Grothendieck category. Let $Q$ denote an injective cogenerator. We write $hom$ for internal and $Hom$ for external hom.
Let $F^+:=hom(F,Q)$. Then for an …
- 501