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}

▾ Set of symbols

▾ Alphabet

▾ Deduction system

▾ Theory

▾ Zermelo-Fraenkel set theory

▾ Set

▾ Subset

▾ Power set

▾ Hyperpower set sequence

▾ Alphabet

▾ Deduction system

▾ Theory

▾ Zermelo-Fraenkel set theory

▾ Set

▾ Subset

▾ Power set

▾ Hyperpower set sequence

Also known as

Power set iteration, N-power set

Child definitions