Question: 1. Let {X | A} be a collection of Hausdorff topological spaces. Prove that Q A X is Hausdorff with respect to both

1. Let {Xα | α ∈ A} be a collection of Hausdorff topological spaces. Prove that Q α∈A Xα is Hausdorff with respect to both the product and box topologies.

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