ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F9774 on D1400: Set distance
F9774
Formulation 1
Let $M = (X, d)$ be a D1107: Metric space such that
(i) $E, F \subseteq X$ are each a D78: Subset of $X$
The distance from $E$ to $F$ in $M$ is the D5237: Unsigned basic number \begin{equation} d(E, F) : = \inf_{x \in E, \, y \in F} d(x, y) \end{equation}