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On the dimension of the product of two compacta and the dimension of their intersection in general position in Euclidean space

Authors:	A N Dranishnikov

Institution:	Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802

Abstract:	For every two compact metric spaces and , both with dimension at most , there are dense $G_{\delta}$ -subsets of mappings $f:X \to \mathbb{R}^n$ and $g:Y\to \mathbb{R}^n$ with $dimf(X)\cap g(Y)\leq dim(X\times Y)-n$ .

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