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A Continuous Extension Operator for Convex Metrics

Published online by Cambridge University Press:  20 November 2018

I. Stasyuk  and
E. D. Tymchatyn
I. Stasyuk
Affiliation:
Department of Mechanics and Mathematics, Ivan Franko National University of Lviv, Lviv, Ukraine e-mail: i stasyuk@yahoo.com
E. D. Tymchatyn
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK e-mail: tymchat@math.usask.ca
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Abstract

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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.

Keywords

54E3554C2054E40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 4 , 01 December 2010 , pp. 719 - 729
Copyright
Copyright © Canadian Mathematical Society 2010

References

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