ABSTRACT
This chapter gives a brief overview of n–fold hyperspaces. It first presents general properties of n–fold hyperspaces. The chapter presents results concerning arcwise accessibility of points of the n–fold symmetric product from the n–fold hyperspace of a given continuum. It presents results about retractions between the hyperspaces of locally connected continua and results about the n–fold hyperspaces of graphs. The chapter ends with the a theorem, which gives conditions on an indecomposable continuum X in order to have its n–fold hyperspaces homeomorphic to a cone over a finite–dimensional continuum.
