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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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A continuous extension operator for convex metrics
by
Edward Tymchatyn
University of Saskatchewan
Coauthors: Ihor Stasyuk

Bing and Moise independently proved that every Peano continuum X admits an equivalent convex metric d. That is for each x and y in X there is z such that d(x, z) = d(y, z) = d(x, y)/2. Bing also gave a formula for extending a convex metric on a Peano subcontinuum Y of X to a convex metric on X. We extend Bing's technique to give a continuous extension operator which simultaneously extends all partial convex metrics defined on variable Peano subcontinua of X to convex metrics on X.

Date received: February 25, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawk-76.