Homotopy Type Theory smash product > history (Rev #3)

Idea

The smash product of two pointed types A,B can be defined as the pushout of the span

where $A \wedge B \rightarrow A \times B$ is the inclusion of the Wedge sum in the product type? both of which are pointed. The resulting pushout is denoted the smash product $A \wedge B$ and is pointed by $\star_{A \wedge B}\equiv\mathrm{inl}(\star_{\mathbf 1})$

Definition

References