International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 10, Pages 717-722
The lifting property for classes of mappings
1Mathematical Institute, University of Wrocław, pl.Grunwaldzki 2/4, Wrocław 50-384, Poland
2Instituto de Mathemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, D. F., México 04510, Mexico
Received 2 April 1999
Copyright © 2000 Janusz J. Charatonik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The lifting property of continua for classes of mappings is
defined. It is shown that the property is preserved under the
inverse limit operation. The results, when applied to the class of
confluent mappings, exhibit conditions under which the induced
mapping between hyperspaces is confluent. This generalizes
previous results in this topic.