2 citations to https://www.mathnet.ru/rus/tm1450
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Dranishnikov A.N., “On the dimension of the product of two compacta and the dimension of their intersection in general position in euclidean space”, Transactions of the American Mathematical Society, 352:12 (2000), 5599–5618
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Dranishnikov A.N., Repovs D., Scepin E.V., “Transversal intersection formula for compacta”, Topology Appl, 85:1–3 (1998), 93–117