Let \((X, d)\) be a metric space and \(A\subseteq X\) a nonempty subset. The diameter of \(A\) is \(\diam(A)\coloneqq\sup_{p, q\in A} d(p, q)\in[0,\infty]\).
Diameter of a subset of a metric space
D-HS6DE
D-HS6DE
Let \((X, d)\) be a metric space and \(A\subseteq X\) a nonempty subset. The diameter of \(A\) is \(\diam(A)\coloneqq\sup_{p, q\in A} d(p, q)\in[0,\infty]\).