Cantor set See the link, I am referring to cantor set on the real line. I wish to show that it is compact. I am doing this by pointing following arguments. I am not sure if this is enough.
- Cantor set is bounded by definition in the region $[0,1]$
- Cantor set is the union of closed intervals, and hence it is a closed set.
- Since the Cantor set is both bounded and closed it is compact by Heine-Borel Theorem.