▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Map
▾ Map inverse image
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}
Child definitions
» D2948: Sublevel set
» D2949: Superlevel set