A Continuous Extension Operator for Convex Metrics
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Published:2010-12-01
Issue:4
Volume:53
Page:719-729
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Stasyuk I.,Tymchatyn E. D.
Abstract
AbstractWe 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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics