Resumen de Dendrites with unique hyperspace

David Herrera Carrasco

• For a metric continuum X let C(X) denote the hyperspace of subcontinua of X. The continuum X is said to have unique hyperspace of subcontinua provided that if Y is a continuum and C(X) is homeomorphic to C(Y), then X is homeomorphic to Y. We show in this paper the following: A dendrite which is not an arc has unique hyperspace of subcontinua if its set of end points is closed.