2013; Physical and Mathematical Sciences, 47(1 (230): 13–16
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ON THE CONTINUITY OF EXTREMAL LENGTH

Kh. Navoyan*

Received: 2025-02-18 · Published: 2013-04-10

© 2013 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
ON THE CONTINUITY OF EXTREMAL LENGTH
Author
Kh. Navoyan
Published
2013-04-10
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSUA.2013.47.1.013

Abstract

In the paper the continuity of one conformal invariant extremal length is considered. A counterexample is constructed disproving the result of P.M. Tamrazov on the continuity of the extremal distance between two sets. Then some sufficient conditions for the continuity are given.
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