Abstract
We show that on the sphere Sm, m ≠ 1, 3, 7, there exists an nm-valued multiplication with unit for some nm ∈ {2, 4, 8}. We also explicitly construct a 2k−1-fold branched covering of \(S^{m_1}\;\times\cdots\times\;S^{m_k}\) the product Sm1× ··· × Smk of k spheres over the sphere Sm, m = m1 + ··· + mk.
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Text Copyright © The Author(s), 2019. Published in Funktsional’nyi Analiz i Ego Prilozheniya, 2019, Vol. 53, No. 2, pp. 68–71.
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Gugnin, D.V. Branched Coverings of Manifolds and nH-Spaces. Funct Anal Its Appl 53, 133–136 (2019). https://doi.org/10.1134/S0016266319020072
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DOI: https://doi.org/10.1134/S0016266319020072