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First International Meeting on Continuum Theory
June 29 - July 1, 2000
Facultad de Ciencias Fisico-Matematicas de la Benemerita Universidad Autonoma de Puebla
Puebla, Mexico

Organizers
Raul Escobedo, Fernando Macias, Sergio Macias, Richard Schori, Carl Seaquist

View Abstracts

The RNT property on compactifications of the semi-ray [0, \infty)
by
Veronica Martinez de la Vega y Mansilla
Instituto de Matematicas, UNAM

The metric continuum X, with metric d, is said to have the Retractible onto Near Trees (RNT) property provided that for every positive number r, there exists a positive number s such that if T is a tree contained in X and the Hausdorff distance from T to X is less than s, then there exists a retraction f from X onto T such that, for every x in X, d(x,f(x)) < r.

In this paper we study conditions on the remainer R of a metric compactification X of the semi-ray [0,oo) in order that X has the RNT property.

Date received: May 12, 2000

Copyright © 2000 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 # caem-18.