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Matematicheskie Zametki, 2005, Volume 78, Issue 2, Pages 163–170
DOI: https://doi.org/10.4213/mzm2573 (Mi mzm2573) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The Generalized Pompeiu Metric in the Isometry Problem for Hyperspaces

V. V. Aseeva, A. V. Tetenovb, A. P. Maksimovab

a Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
b Gorno-Altaisk State University
Full-text PDF (211 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm2573
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.
Received: 10.07.2002
Revised: 15.11.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 2, Pages 149–155
DOI: https://doi.org/10.1007/s11006-005-0110-3
Bibliographic databases:
UDC: 515.12
Language: Russian
Citation: V. V. Aseev, A. V. Tetenov, A. P. Maksimova, “The Generalized Pompeiu Metric in the Isometry Problem for Hyperspaces”, Mat. Zametki, 78:2 (2005), 163–170; Math. Notes, 78:2 (2005), 149–155
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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