Resumen de The Hyperspaces C(p,X) for Atriodic Continua
Let C(X) denote the hyperspace of subcontinua of a continuum X. For an element A of C(X), define the hyperspace C(A,X) as the set of elements of C(X) which contain A. We prove that nondegenerate Whitney levels of C(p,X) are arcs when X is an atriodic continuum. The main result is a characterization of the hyperspaces C(p,X) for atriodic continua. Moreover, as a consequence of the characterization, we obtain that a continuum X is atriodic if and only if C(A,X) is planar for every element A of C(X).
