ON THE CONTINUITY OF EXTREMAL LENGTH

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ON THE CONTINUITY OF EXTREMAL LENGTH Kh. Navoyan

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.

DOI: 10.46991/PYSUA.2013.47.1.013 Physical and Mathematical Sciences, 47(1 (230) 13-16

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Keywords

extremal length, module of curve family, separated compact subset

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