"Why Pompeiu-Hausdorff metric instead of Hausdorff metric?"

Abstract

"The distance between two sets, commonly called Hausdorff metric, is a very important mathematical concept, with plenty of applications in almost all scientific research areas. We suggest in this paper an update of its name as Pompeiu-Hausdorff metric (distance). Based on historical evidence, this proposal follows the contemporary manner of appointing concepts in scientific writings, especially in mathematics."