 Function space of complete partial orders

The Scott continuous maps from $D$ to $E$, ordered pointwise. A nonempty directed family has pointwise supremum, and the constant-bottom function is least. Joint evaluation is Scott continuous: for a directed family of pairs $(f_i,x_i)$, directedness makes diagonal values cofinal among all $f_i(x_j)$. Evaluation and currying make the category of pointed complete partial orders and non-strict Scott continuous maps a Cartesian closed category.