Generic planes conjecture |
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Authors: | S. A. Bogatyi |
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Affiliation: | 1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia
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Abstract: | In some particular cases we prove the density of the set of mappings of an n-dimensional compactum into an m-dimensional Euclidean space such that the set of all d-dimensional planes with the preimage cardinality ?? q has the dimension ?? qn - (q ? d ? 1)(m ? d). |
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