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.)]