On The Hyperspace C_n(X) Of A Continuum X

In 2000, Sergio macias proved a lot of new conclusions about Cn(X) in his article《On the hyperspace Cn(X) of a Continuum X》. Based on the Sergio macias's work, new propositions about Cn(X) in five aspects are given in this article. These aspects are the property about segment and order arc, nested intersection, contractibility, the fixed point property, continuous map between Cn(X) and 2X. Finally, a few of propositions about Fn(X),F(X),C∞(X) are given.