Homotopy Type Theory
smash product (Rev #4, changes)

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Idea

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

1ABA×B\mathbf 1 \leftarrow A \wedge B \rightarrow A \times B

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

Definition

References

category: homotopy theory

Revision on September 4, 2018 at 09:40:32 by Ali Caglayan. See the history of this page for a list of all contributions to it.