(a) Give a definition of a closed set. (b) Show, directly from the definition, that a...

(a) Give a definition of a closed set.

(b) Show, directly from the definition, that a union of finitely many closed sets is closed.

(c) Give an example of a countable collection of closed intervals In such that ∪ n=1 to ∞ I_n is open (make sure to prove it).

Expert Solution

Colby Messinger answered 2 years ago

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