Questions on homogeneous path connected continua and other continuum theory problems
by
Janusz R. Prajs
Idaho State University

The question, by Krystyna Kuperberg, whether every homogeneous path connected continuum is locally connected had become classical in continuum theory. Recently I answered this question in the negative. I intend to sketch the construction of a homogeneous, path connected, non-locally-connected continuum, and to briefly discuss some other continuum theory problems.

Date received: February 22, 2002