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Results tagged with ct.category-theory
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user 197402
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
5
votes
1
answer
222
views
limits and products stable $\infty$-category
In an abelian category $\mathcal{A}$, for a system $\{F_i,\phi_{ij}\}$ we have an exact sequence
$0\to \lim F_i\to \prod F_i \to \prod F_i$
where the second map is given by $id-\prod\phi_{ij}$. Is the …
- 15.9k
1
vote
0
answers
122
views
Motivic homotopy categories closed under subobjects and quotients
It is well known that the category $\mathbf{HI}_{\rm Nis}^{\rm tr}(k)$ of $\mathbb{A}^1$-local Nisnevich sheaves with transfers is closed under subobjects and quotients, from the highly nontrivial fac …
- 16.9k