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.



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 Berinde, Vasile, Păcurar, Mădălina