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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
2
votes
0
answers
135
views
Thickness of category of abelian motives
A motive over a field $k$ is of abelian type if it belongs to the thick and rigid
subcategory of Chow motives spanned by the motives of abelian varieties over $k$. I understand that this is the smalle …
3
votes
2
answers
473
views
Definition of the differential of the Cone of a morphism of complexes [closed]
Let $(F^\bullet,d_F)$ and $(G^\bullet,d_G)$ be two complexes in an abelian category $\mathbf{A}$.
The complex cone $Cone(\varphi)^\bullet$ of a morphism of complexes $\varphi:F^\bullet \to G^\bullet$ …