Question: Let V be a subset of R. a) Prove that V is open if and only if there is a collection of open balls {B

Let V be a subset of R".
a) Prove that V is open if and only if there is a collection of open balls {Bα : α ˆˆ A} such that

Let V be a subset of R

b) What happens to this result when open is replaced by closed?

.

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