---
date: 2022-04-03 21:35
modification date: Sunday 3rd April 2022 21:35:01
title: "cohomology operations"
aliases: [cohomology operations]

---

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


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- Tags 
	- #todo/untagged
- Refs:
	- <https://link.springer.com/content/pdf/10.1007%2F978-3-319-23488-5_4.pdf#page=2> #resources/notes 
- Links:
	- [Steenrod algebra](Unsorted/Steenrod%20algebra.md)

---

# cohomology operations

Example:
![](attachments/Pasted%20image%2020220403213507.png)

Relation to [Bockstein](Unsorted/Bockstein.md) and [Eilenberg-MacLane spaces](Unsorted/Eilenberg-MacLane%20spaces.md):
![](attachments/Pasted%20image%2020220403213617.png)
![](attachments/Pasted%20image%2020220403213838.png)

![](attachments/Pasted%20image%2020220403213634.png)

![](attachments/Pasted%20image%2020220403213710.png)

# Stable operations

![](attachments/Pasted%20image%2020220514184315.png)
![](attachments/Pasted%20image%2020220514184325.png)

![](attachments/Pasted%20image%2020220514184300.png)

See [Steenrod algebra](Unsorted/Steenrod%20algebra.md):
![](attachments/Pasted%20image%2020220514184531.png)