Question: Problem 1. Justify whether the following statements are true or false. 1. The union of countably many closed sets is always closed. 2. The union

Problem 1. Justify whether the following statements are true or false. 1. The union of countably many closed sets is always closed. 2. The union of countably many closed sets is always open. 3. The intersection of countably many open sets is always open. 4. The complement of a compact set is always compact

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