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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2013, Issue 1, Pages 13–16 (Mi uzeru104)  
Mathematics

On the continuity of extremal length

Kh. V. Navoyan, V. Kh. Navoyan

Yerevan State University
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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.
Keywords: extremal length, module of curve family, separated compact subset.
Received: 30.12.2012
Accepted: 25.01.2013
Document Type: Article
MSC: 31B15; 31C35
Language: English
Citation: Kh. V. Navoyan, V. Kh. Navoyan, “On the continuity of extremal length”, Proceedings of the YSU, Physical and Mathematical Sciences, 2013, no. 1, 13–16
Citation in format AMSBIB
\Bibitem{NavNav13}
\by Kh.~V.~Navoyan, V.~Kh.~Navoyan
\paper On the continuity of extremal length
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2013
\issue 1
\pages 13--16
\mathnet{http://mi.mathnet.ru/uzeru104}
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