Determine whether the following statements are true or false
a) Every pairwise disjoint family of open subsets of ℝ is countable.
b) Every pairwise disjoint family of closed subsets of ℝ is countable.
part (a) is true. we can find 1-1 correspondence with rational numbers
But part (b) I know it is false. I need a counter example. Could you help me with that?