# 拓扑斯上的阿贝尔群是 Grothendieck 范畴　`thm.topos-abelian-grothendieck`
$\mathcal{T}(\mathbf{Ab})$ 是 Grothendieck 范畴
layer 19 · 定理 · 阿贝尔层 · 同调代数
[在星图里打开](../#n=thm.topos-abelian-grothendieck)　·　[节点索引](../index.md)

若
> 陈述续见 [nodes/thm.topos-abelian-grothendieck.2.md](./thm.topos-abelian-grothendieck.2.md)


## 为什么成立（入边，证明在 proofs/）
- …另有入边，续页见 [nodes/thm.topos-abelian-grothendieck.5.md](./thm.topos-abelian-grothendieck.5.md)

## English abstract · **draft** · machine-drafted, pending author review; Chinese is authoritative
> English abstract 续见 [nodes/thm.topos-abelian-grothendieck.3.md](./thm.topos-abelian-grothendieck.3.md)

refs: Le Stum, An introduction to condensed mathematics, §5.3

外部：Wikipedia https://en.wikipedia.org/wiki/Grothendieck_category · nLab https://ncatlab.org/nlab/show/Grothendieck+category

> 说明见 `notes/thm.topos-abelian-grothendieck.md`

引用：`thm.topos-abelian-grothendieck`（内容 v0.9.0）· 条款见 [LICENSE.txt](../LICENSE.txt)