ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
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▼ Ordinal number
▼ Cardinal number
▼ Set cardinality
▼ Singleton set
▼ Set of singletons
▼ Singleton map
Definition D4493
Canonical singleton map
Formulation 1
Let $X$ be a D11: Set.
The canonical singleton map on $X$ is the D18: Map \begin{equation} X \to \left\{ \{ z \} : z \in X \right\}, \quad x \mapsto \{ x \} \end{equation}