This set is due Friday, November 15, at the beginning of lecture.
We discuss the Hausdorff metric on the collection of compact subsets of a complete metric space, and fractals obtained by contractions. (But note that not all fractals one may want to study come from this procedure.)
[Edit, Nov. 12, 2013: Problem 4 has been changed to: Provide an example showing that, in general, if and is compact, then . (There are cases where the equality holds, and it may be useful to provide some examples of this as well.)]