ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Binary cartesian set product
▼ Binary relation
▼ Map
▼ Cartesian product
Definition D68
Set of maps
Formulation 0
Let $X$ and $Y$ each be a D11: Set.
The set of maps from $X$ to $Y$ is the D11: Set \begin{equation} Y^X : = \prod_{x \in X} Y = \{ f \mid f : X \to Y \} \end{equation}
Children
▶ D4782: Evaluation map