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Closures and Infinite Products
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[QUOTE="fresh_42, post: 6171192, member: 572553"] I have no proof in mind, but a plan. Write it down (I would do it with open sets instead), and find out where you used the finiteness property of the product topology. Either you didn't use it, in which case the proof holds for the box topology, too, or you see how to construct a counterexample, namely such that this step of the proof is hurt. [/QUOTE]
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