A dimensional property of Cartesian product
classification
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math.GN
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dimensionalcartesianhereditarilyinfiniteproductproofalgebraicauthor
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We show that the Cartesian product of three hereditarily infinite dimensional compact metric spaces is never hereditarily infinite dimensional. It is quite surprising that the proof of this fact (and this is the only proof known to the author) essentially relies on algebraic topology.
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