# 拓扑斯态射在阿贝尔群上给出伴随　`prop.topos-morphism-abelian-adjunction`
命题：$f^{-1} \dashv f_{*}$ 升级到 $\mathcal{T}(\mathbf{Ab})$
layer 18 · 命题 · 拓扑斯 · 范畴论
[在星图里打开](../#n=prop.topos-morphism-abelian-adjunction)　·　[节点索引](../index.md)

设 $f : \mathcal{T} \to \mathcal{T}'$ 是拓扑斯态射。则拉回 $f^{-1} : \mathcal{T}'(\mathbf{Ab}) \to \mathcal{T}(\mathbf{Ab})$ 有**右伴随** 
> 陈述续见 [nodes/prop.topos-morphism-abelian-adjunction.2.md](./prop.topos-morphism-abelian-adjunction.2.md)


## 为什么成立（入边，证明在 proofs/）
- …另有入边，续页见 [nodes/prop.topos-morphism-abelian-adjunction.3.md](./prop.topos-morphism-abelian-adjunction.3.md)

refs: Le Stum, An introduction to condensed mathematics, Exercise 7.51

> 说明见 `notes/prop.topos-morphism-abelian-adjunction.md`

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