Geodesic
On the continuity of extremal length
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2013), pp. 13-16

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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. 
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Kh. V. Navoyan; V. Kh. Navoyan. On the continuity of extremal length. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2013), pp. 13-16. http://geodesic.mathdoc.fr/item/UZERU_2013_1_a2/