This article is cited in 5 papers

The Generalized Pompeiu Metric in the Isometry Problem for Hyperspaces

V. V. Aseev^a, A. V. Tetenov^b, A. P. Maksimova<sup>b

a</sup> Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
^b Gorno-Altaisk State University

Abstract: The isometries of the hyperspace of a compact subset of the real line endowed with the generalized Pompeiu metric are considered. It is proved that any such an isometry is generated by an isometry of the base space.

UDC: 515.12

Received: 10.07.2002
Revised: 15.11.2004

DOI: 10.4213/mzm2573

 English version: Mathematical Notes, 2005, 78:2, 149–155

Bibliographic databases:

• 
• 
• 
• 
•