Natural Science, Mathematics, 2025
ON THE CONTINUITY OF EXTREMAL LENGTH
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Submitted: 2025-02-18; Published: 2025-02-18
© 2025 by author(s) and The Gufo Inc.
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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.