Hyperspaces of Peano and ANR continua

Suppose X is a locally connected continuum without free arcs. It is known that the hyperspace C(X) is homeomorphic to the Hilbert cube Q. Let Lc(X) and ANRc(X) denote the subspaces of C(X) consisting of locally connected continua and ANR continua in X. In this article we show that if X has DD1P then the pair (C(X),Lc(X)) is homeomorphic to (Q,Q0) and if, in addition, every nonempty open subset of X contains a 3-disk then the pair (C(X),ANRc(X)) is homeomorphic to (Q,Ω3).