#
Homotopy Type Theory

suspension (Rev #2)

## Definitions

### Def 1

The suspension of a type $A$ is a type $\Sigma A$ with the following generators

- A point $\mathrm{N} : \Sigma A$
- A point $\mathrm{S} : \Sigma A$
- A function $\mathrm{merid} : A \to (N =_{\Sigma A} S)$

### Def 2

The suspension of a type $A$ is a the homotopy pushout? of $\mathbf 1 \leftarrow A \rightarrow \mathbf 1$.

These two definitions are equivalent.

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