Abstract
In the paper, we give new results about dimension of inverse limits with upper semicontinuous bonding functions. We also construct an upper semicontinuous function f:[0,1]→2[0,1] with the following properties: (1) the graph of f is an arc, (2) the graph of f is surjective, (3) the inverse limit lim←{[0,1],f}n=1∞ contains a simple closed curve, and (4) the dimension of lim←{[0,1],f}n=1∞ is 1. This answers a question by W.T. Ingram.
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