ON THE CONTINUITY OF EXTREMAL LENGTH

Kh.V. Navoyan; V.Kh. Navoyan

doi:10.46991/PYSU:A/2013.47.1.013

ON THE CONTINUITY OF EXTREMAL LENGTH

Authors

Kh.V. Navoyan Chair of General Mathematics, YSU, Armenia
V.Kh. Navoyan Chair of Higher Mathematics, Faculty of Radiophysics YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2013.47.1.013

Keywords:

extremal length, module of curve family, separated compact subset

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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Published

2013-04-10

How to Cite

Navoyan, K., & Navoyan, V. (2013). ON THE CONTINUITY OF EXTREMAL LENGTH. Proceedings of the YSU A: Physical and Mathematical Sciences, 47(1 (230), 13–16. https://doi.org/10.46991/PYSU:A/2013.47.1.013