---
date: 2022-04-05 23:42
modification date: Tuesday 5th April 2022 23:42:25
title: "conservative functor"
aliases: [conservative]
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# conservative functor


A functor between ordinary categories is **conservative** if it reflects isomorphisms. Note that a triangulated functor is conservative if and only if it reflects zero objects

![](attachments/Pasted%20image%2020220317234244.png)

![](attachments/Pasted%20image%2020220325164227.png)