Abstract:Sea X un continuo. Sea C(X) el hiperespacio de todos los subconjuntos cerrados, conexos y no vacíos de X, con la métrica de Hausdorff. Consideramos C(X) = {C(A) | A ∈ C(X)} como un subespacio de C(C(X)). Decimos que un continuo X tiene un hiperespacio único sobre C(X) si para cada continuo Y con la condici´on C(X) homeomorfo a C(Y ) implica que X es homeomorfo a Y. Demostraremos la unicidad para la clases de los continuos hereditariamente indescomponibles..
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