---
date: 2022-02-23 18:45
modification date: Wednesday 23rd February 2022 18:45:08
title: fibrant and cofibrant objects
aliases: [fibrant and cofibrant objects, "fibrant", "cofibrant", "fibrant replacement", "cofibrant replacement", "fibrant objects", "cofibrant object"]

---

Last modified date: <%+ tp.file.last_modified_date() %>


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- Tags 
	- #homotopy/stable-homotopy 
- Refs:
	- #todo/add-references
- Links:
	- #todo/create-links 

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# fibrant and cofibrant objects

Fibrant replacement in Top:

![](attachments/Pasted%20image%2020210505014408.png)

![](attachments/Pasted%20image%2020210505015547.png)

![](attachments/Pasted%20image%2020210516135303.png)

# Cofibrant generation

![](attachments/Pasted%20image%2020220207230831.png)