Definition:Cut (Analysis)/Upper Number

Definition
Let $\alpha$ be a cut.

Let $q \in \Q$ such that $q \notin \alpha$.

Then $p$ is referred to as an upper number of $\alpha$.

Also see

 * Definition:Lower Number of Cut


 * Rational Number Not in Cut is Greater than Element of Cut, where it is shown that if $q \notin \alpha$ then $\forall p \in \alpha: q > p$.