ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F2636 on D2947: Level set
F2636
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}