Definition:Cut (Analysis)/Lower Number
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Definition
Let $\alpha$ be a cut.
Let $p \in \alpha$.
Then $p$ is referred to as a lower number of $\alpha$.
Also see
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