---
date: 2022-04-05 23:42
modification date: Tuesday 5th April 2022 23:42:25
title: "aspherical space"
aliases: [aspherical space]
---

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

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

---

# aspherical space


Definition:
An **aspherical** space $X$ is anything of the homotopy type $K(\pi_1 X, 1)$, i.e. $\pi_k(X) = 0$ for $k\geq 2$.


![](attachments/Pasted%20image%2020220408005710.png)
![](attachments/Pasted%20image%2020220408005727.png)