Definition:Outer Jordan Content

Definition

Let $M$ be a bounded subspace of Euclidean space.

Let $C$ be an arbitrary finite covering of $M$ by orthotopes.

Then the greatest lower bound to the content of $C$ is the outer Jordan content of $M$.

Also known as

Often referred to as the outer Jordan measure, but this is a misnomer as it does not constitute an outer measure.

Also see

• Definition:Jordan Content

Source of Name

This entry was named for Marie Ennemond Camille Jordan.

Sources

• 1994: A. Shenitzer and J. Steprans: The Evolution of Integration (Amer. Math. Monthly Vol. 101, no. 1: pp. 66 – 72)  www.jstor.org/stable/2325128

• Derwent, John. "Jordan Measure." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/JordanMeasure.html