Definition:Cut (Analysis)/Lower Number

Definition

Let $\alpha$ be a cut.

Let $p \in \alpha$.

Then $p$ is referred to as a lower number of $\alpha$.

Also see

• Definition:Upper Number of Cut

Sources

• 1964: Walter Rudin: Principles of Mathematical Analysis (2nd ed.) ... (previous) ... (next): Chapter $1$: The Real and Complex Number Systems: Dedekind Cuts: $1.5$. Theorem