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
▼ Map inverse image
Definition D2947
Level set
Formulation 0
Let $f : X \to Y$ be a D18: Map.
The level set of $f$ with respect to $y \in Y$ is the D11: Set \begin{equation} \{ f = y \} : = \{ x \in X : f(x) = y \} \end{equation}
Children
▶ D2948: Sublevel set
▶ D2949: Superlevel set