The Cantor set $\mathcal C$ is constructed from the unit interval as follows:
Let $C_n = \frac{C_{n-1}}{3} \cup \left(\frac{2}{3} +\frac{C_{n-1}}{3}\right)$ with $C_0 = [0,1]$. Then \(\mathcal C = \bigcap_{n\in\mathbb N} C_n.\)
A set $E\subset \mathbb R$ is called a Cantor set if it is compact, has empty interior, and has no isolated points.
Wikidata ID: Q273188