Monotone Homogeneous continua, an example.
by
Alejandro Illanes
Universidad Nacional Autónoma de México

A map between continua X and Y is said to be monotone provided that the inverse image of each subcontinuum of Y is a connected subset of X. A continuum X is said to be monotone provided that, for every two points p and q in X there is a monotone map from X onto X which sends p into q. In this paper we construct an example of a monotone homogeneous dendroid without Kelley's Property. This answers a question by J. J. Charatonik

Date received: February 10, 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-34.