Atlas home || Conferences | Abstracts | about Atlas

The 1997 Spring Topology and Dynamics Conference
April 10-12, 1997
University of Southwestern Louisiana
Lafayette, LA, USA

Organizers
Bradd Clark, Kathleen Lopez, Vic Schneider, Roger Waggoner, Thelma West

View Abstracts

Absolute retracts for hereditarily unicoherent continua
by
Włodzimierz J. Charatonik
Universidad Nacional Autonoma de Mexico

Let C be a class of continua. We say that a continuum X in C is an absolute retract for C (AR(C)) if for any Y in C if X is embedded in Y, then X is a retract of Y.

We investigate absolute retracts for dendroids (D) and for hereditarily unicoherent continua (H). We prove that every continuum that is in AR(D) or AR(H) has the property of Kelley. Moreover, the Mohler-Nikiel universal smooth dendroid is in AR(H). As a concequence every dendroid in AR(D) is in AR(H)

Date received: March 14, 1997

Copyright © 1997 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 # caam-53.