▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Subset
▾ Power set
▾ Hyperpower set sequence
Hyperpower set
Formulation 1
Let $X$ be a D11: Set.
The hyperpower set of $X$ with respect to $N \in \mathbb{N} : = \{ 0, 1, 2, \ldots \}$ is the D11: Set \begin{equation} \mathcal{P}^N (X) \end{equation}
Also known as
Power set iteration, N-power set
Child definitions
» D4076: Hypersubset