ABSTRACT

This chapter includes some open questions related to the topics of the rest of the book. Some of the questions presented in the chapter are: Is it true that X is the inverse limit of graphs with monotone simplicial retractions as bonding maps if and only if X is locally connected and each cyclic element of X is a graph? If X and Y are continua and X ×Y is disk–like, then must X be arc–like? Does every disk–like continuum have the fixed point property? Does each tree–like homogeneous continuum have the fixed point property? Does every triod–like continuum have the fixed point property?.