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Results tagged with ct.category-theory
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user 133871
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
5
votes
1
answer
572
views
How to understand pushout/pullback in a stable $\infty$-category
It is known that in a stable $\infty$-category $\mathcal{C}$ and $X \in \mathcal{C}$, the suspension $X[1]$ is defined by the pushout of $0\leftarrow X \rightarrow 0$. However this does not make sense …
- 1,168
1
vote
0
answers
213
views
Zero in colimit of sheaves category
This question is motivated by showing that the category $\mathbf{Sheaves} (X)$ from the open subset excluding the empty set category to the category of abelian group $\mathbf{Ab}$ has enough injective …
- 1,168