Results in the Study of Continuously Ray Extendible Continua
by
C. Wayne Proctor
Stephen F. Austin State University

A continuum M is defined to be continuously ray extendible if and only if it is true that for each continuous function f which maps a continuum X onto M and for each compactification of a half line L that has remainder M, there exists a compactification of a half line R that has remainder X such that f has a continuous extension F which maps the union of X and R onto the union of M and L. The collection of Class W continua contains the collection of continuously ray extendible continua as a proper subcollection. Each chainable continuum and each p-adic solenoid is continuously ray extendible.

Date received: February 14, 1997

Copyright © 1997 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 # caam-04.