For any set S ⊆ ℝ, let S° denote the union of all the open sets contained in S.
(a) Prove that S° is an open set.
(b) Prove that S° is the largest open set contained in S. That is, show that S° ⊆ S, and if U is any open set contained in S, then U ⊆ S°.
(c) Prove that S° = int S.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.