---
date: 2021-11-03 18:56
modification date: Wednesday 3rd November 2021 18:56:13
title: h-cobordism
aliases: [h-cobordism]

---

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

---
- Tags: 
	- #todo/untagged
- Refs:
	- Stanford course notes: <https://stanford.edu/~sfh/morse.pdf#page=2> #resources/course-notes 
	- Proof of h-cobordism: <https://stanford.edu/~sfh/morse.pdf#page=45>
- Links:
	- #todo/create-links 

---

# h-cobordism

![](attachments/Pasted%20image%2020220422101231.png)

Why [s-cobordism](s-cobordism.md) matters: non-simply connected spaces
![Pasted image 20211103185702.png](Pasted%20image%2020211103185702.png)

An application:
![Pasted image 20211103192414.png](Pasted%20image%2020211103192414.png)

# Applications: Poincare


Using h-cobordism to prove the [Poincare conjectures](Unsorted/Poincare%20conjectures.md):
![Pasted image 20211103185616.png](Pasted%20image%2020211103185616.png)

![](attachments/Pasted%20image%2020220422101253.png)
![](attachments/Pasted%20image%2020220422101356.png)
![](attachments/Pasted%20image%2020220422101634.png)
![](attachments/Pasted%20image%2020220422101708.png)
![](attachments/Pasted%20image%2020220422101718.png)