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Generic planes conjecture

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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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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    S. A. Bogatyi

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  1. S. A. Bogatyi
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Original Russian Text © S.A. Bogatyi, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 5, pp. 13–19.

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Bogatyi, S.A. Generic planes conjecture. Moscow Univ. Math. Bull. 67, 200–205 (2012). https://doi.org/10.3103/S0027132212050038

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  • DOI: https://doi.org/10.3103/S0027132212050038

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