Enrichment is the categorical method of expressing that morphisms of a certain previewcategory come with extra structure. For instance, monotone maps in $\text{𝐏𝐨𝐬𝐞𝐭}$ can themselves be equipped with a (pointwise) ordering, meaning that for every poset $𝑋$ and $𝑌$, $\text{𝐏𝐨𝐬𝐞𝐭}\left(𝑋,𝑌\right)$ is more than a set, it is a poset.Categorical Enrichment