▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Map
▾ Map graph
Map supergraph
Formulation 0
Let $P = (Y, {\preceq})$ be a D1103: Partially ordered set.
Let $f : X \to Y$ be a D18: Map.
The supergraph of $f$ with respect to $P$ is the D11: Set \begin{equation} \{ (x, y) \in X \times Y : y \succeq f(x) \} \end{equation}
Also known as
Map epigraph
Child definitions
» D3045: Map strict supergraph