Question

the intersection of an arbitrary family of closed sets is closed​

Answer 1

Answer:

The intersection of a finite number of open sets is open. An arbitrary (finite, countable, or uncountable) intersection of closed sets is closed. The union of a finite number of closed sets is closed.

Answer 2

Answer:

the intersection of any collection of closed sets is closed, 3. the union of any finite collection of closed sets is closed. Proof. The theorem follows from Theorem 4.3 and the definition of closed set.

Step-by-step explanation:

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