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Sequence of non-empty, compact, hausdorif topological

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Reference no: EM132677180

Queston: Let (Xi)i∈I be a sequence of non-empty, compact, Hausdorif topological spaces indexed by I. Let X = ∏i∈I Xi, equipped with the box topology. Assume that Xis compact. Let J = {i ∈ I| |Xi| = 1}. Prove I\J is finite.

Reference no: EM132677180

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