Standard universal dendrite Dm as an inverse limit with one set-valued bonding function

For any integer m≥3m≥3, we construct an upper semicontinuous function f:[0,1]→2[0,1]f:[0,1]→2[0,1], such that the inverse limit of the inverse sequence of intervals [0,1][0,1] and f   as the only bonding function is homeomorphic to the standard universal dendrite DmDm.