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- Title
The Generalized Pompeiu Metric in the Isometry Problem for Hyperspaces.
- Authors
Aseev, V. V.; Tetenov, A. V.; Maksimova, A. P.
- 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.
- Subjects
HYPERSPACE; ISOMETRICS (Mathematics); MATHEMATICAL transformations; FOUNDATIONS of geometry; MATHEMATICS
- Publication
Mathematical Notes, 2005, Vol 78, Issue 1/2, p149
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-005-0110-3