Question: 3. QUESTION 3 Let (X, 7) be a topological space. Consider X x X with the product topology. The following set is called the diagonal:

3. QUESTION 3 Let (X, 7) be a topological space. Consider

3. QUESTION 3 Let (X, 7) be a topological space. Consider X x X with the product topology. The following set is called the diagonal: A= {xxxxexcxxx Prove that X is Hausdorff, if and only if A is a closed set in X x X. (20 points)

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