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Dimension of Subsets of Product Spaces
It is proved that under a certain condition on a separable metric space $X$, each compact subset $W$ of $X \times Y$ with $\dim W = \dim X + \dim Y$ contains a product $Xâ \times Yâ \subset W$ with $\dim Xâ = \dim X$ and $\dim Yâ = \dim …