SMOOTHNESS IN n–FOLD HYPERSPACES

Abstract

We prove that C–smoothness of a homogeneous continuum implies its indecomposability. We define the analogue of C– smoothness for n–fold hyperspaces and investigate its relation to C– smoothness. We characterize the class of hereditarily indecomposable continua in terms of C n–smoothness. 

Cite this paper

@inproceedings{MaasSMOOTHNESSIN, title={SMOOTHNESS IN n–FOLD HYPERSPACES}, author={Sergio Ma{\'c}ıas and Sam B. Nadler} }