---
date: 2022-04-03 18:37
modification date: Sunday 3rd April 2022 18:37:31
title: "motivation for spectral sequences"
aliases: [motivation for spectral sequences]

---

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


---

- Tags 
	- #todo/untagged
- Refs:
	- #todo/add-references
- Links:
	- [examples of spectral sequences](examples%20of%20spectral%20sequences.md)

---

# motivation for spectral sequences

![](attachments/Pasted%20image%2020220403183734.png)
![](attachments/Pasted%20image%2020220403183742.png)
![](attachments/Pasted%20image%2020220403183749.png)
![](attachments/Pasted%20image%2020220403183803.png)

# The bottom row

Considering the [Gysin sequence](Unsorted/Gysin%20sequence.md):
![](attachments/Pasted%20image%2020220403191426.png)
# Filtrations

![](attachments/Pasted%20image%2020220403184006.png)
![](attachments/Pasted%20image%2020220403184026.png)
![](attachments/Pasted%20image%2020220403184107.png)

## Constructing

![](attachments/Pasted%20image%2020220403184306.png)
![](attachments/Pasted%20image%2020220403184315.png)
# Cellular to singular

![](attachments/Pasted%20image%2020220403184221.png)
![](attachments/Pasted%20image%2020220403184236.png)