Exactly k-to-1 mappings and hereditarily indecomposable tree-like continua
by
Thomas E. Gonzalez
Auburn University

In 1947, Gottschalk proved that no dendrite is the exactly k-to-1 image of any continuum for k >= 2. Until now, no other class of continua has been shown to have this same property. In this talk we show that no hereditarily indecomposable tree-like continuum is the exactly k-to-1 image of any continuum for k >= 2.

Date received: February 4, 1999

Copyright © 1999 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 # caca-25.