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A Continuous Extension Operator for Convex Metrics

Open Access article
 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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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, 54C20, 54E40 show english descriptions Metric spaces, metrizability
Extension of maps
Special maps on metric spaces
54E35 - Metric spaces, metrizability
54C20 - Extension of maps
54E40 - Special maps on metric spaces

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