---
created: 2022-04-05T23:42
updated: 2023-12-19T15:16
aliases:
  - derived functor
  - derived category
  - derived categories
  - derived functors
  - derived tensor product
  - derived fiber product
---

- Tags 
	- #todo/untagged
- Refs:
	- <https://www.youtube.com/watch?v=qFlt1XBNf4k&list=PLCe-H2N8-ny5nIYCQevWaJsO3PP44uz03&index=28> #resources/videos 
- Links:
	- [semiorthogonal decomposition](semiorthogonal%20decomposition)
	- [Kan extension](Unsorted/Kan%20extension.md)
	- [examples of derived categories](examples%20of%20derived%20categories.md)

---

# derived category


![](attachments/Pasted%20image%2020220408004504.png)
![](attachments/Pasted%20image%2020220408004620.png)

# Results
![](attachments/Pasted%20image%2020220207230353.png)
![](attachments/Pasted%20image%2020220207230411.png)

![attachments/image_2021-03-25-00-09-25.png](attachments/image_2021-03-25-00-09-25.png)

![](attachments/Pasted%20image%2020220207150340.png)
# Derived fiber product

![](2023-12-19.png)