---
date: 2022-02-23 18:45
modification date: Friday 1st April 2022 20:45:07
title: "H-space"
aliases: [H-space]

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


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

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# H-space


Can upgrade to an [E_infty](Unsorted/E_n%20ring%20spectrum.md) space.

- Slogan: a group up to homotopy
  
![](attachments/Pasted%20image%2020220401204512.png)

# Examples

- $\BU \times \ZZ$, see [topological K theory](Unsorted/topological%20K%20theory.md).
  ![](attachments/Pasted%20image%2020220503130118.png)