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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

Absolute retracts and kernels of hereditarily unicoherent continua
by
Janusz R. Prajs
Texas Tech University, Lubbock, Texas
Coauthors: Janusz J. Charatonik, Wlodzimierz J. Charatonik

A subcontinuum K of a hereditarily unicoherent continuum X is called the kernel of X provided that K is minimal with respect to the property that X/K is arcwise connected. Such subcontinuum K is uniquelly determined for any hereditarily unicoherent continuum X. Among other things it is proved that any tree-like continuum is a kernel of an absolute retract for the class of all hereditarily unicoherent continua.

Date received: May 11, 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-17.