# Homotopy Type Theory quiver > history (Rev #1)

## Definition

A quiver $A$ consists of the following.

• A type $A_0$, whose elements are called objects. Typically $A$ is coerced to $A_0$ in order to write $x:A$ for $x:A_0$.

• For each $a,b:A$, a type $hom_A(a,b)$, whose elements are called arrows or morphisms.