A non-tree-like continuum that repels k-to-1 maps
by
Thomas Gonzalez
University of West Alabama

A nondegenerate continuum Y is said to repel k-to-1 maps if there is no k-to-1 map from any continuum onto Y where k >= 2. All previously known examples of continua that repel k-to-1 maps are tree-like. It will be shown that there exists a non-tree-like continuum that repels k-to-1 maps.

Date received: February 15, 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 # cady-57.