ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Deduction system
Zermelo-Fraenkel set theory
Binary cartesian set product
Binary relation
Binary endorelation
Preordering relation
Partial ordering relation
Ordering relation
Ordered set
Dedekind cut
Set of real numbers
Real number
Cantor number
Definition D3777
Standard Cantor number
Formulation 1
A D993: Real number $x \in \mathbb{R}$ is a standard Cantor number if and only if \begin{equation} \exists \, a_1, a_2, a_3, \ldots \in \{ 0, 2 \} : x = \sum_{n \in \{ 1, 2, 3, \ldots \}} \frac{a_n}{3^n} \end{equation}
Standard Cantor set