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# A Continuous Extension Operator for Convex Metrics

Published:2010-07-26
Printed: Dec 2010
• I. Stasyuk,
Department of Mechanics and Mathematics, Ivan Franko National University of Lviv, Lviv, Ukraine
• E. D. Tymchatyn,
Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK
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## Abstract

We consider the problem of simultaneous extension of continuous convex metrics defined on subcontinua of a Peano continuum. We prove that there is an extension operator for convex metrics that is continuous with respect to the uniform topology.
 MSC Classifications: 54E35 - Metric spaces, metrizability 54C20 - Extension of maps 54E40 - Special maps on metric spaces

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