I'm new here and I'm hoping that maybe I could get some help with something my teacher told me. He said that it is possible to have a closed set nested within another closed set where the intersection between these two sets was empty. In fact, he said that it could be extended to a closed set within a closed set within a closed set etc...
This is all a part of a bigger proof, which I think I could solve on my own, but I was hoping for some examples where the above statement is true. I just cannot for the life of me come up with a working example. Is the same true for bounded sets as well?