Abstract
In the present paper there is indicated a method of proof of a theorem which yields a complete solution of the 13th problem of Hilbert (in the sense of a denial of the hypothesis expressed by Hilbert).
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Bibliography
A.N. Kolmogorov, On the representation of continuous functions of several variables by superpositions of continuous functions of a smaller number of variables, Dokl. Akad. Nauk SSSR 108 (1956), 179-182. (Russian)
K. Menger, Kurventheorie, Teubner, Leipzig, 1932.
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(2009). On functions of three variables. In: Givental, A., et al. Collected Works. Vladimir I. Arnold - Collected Works, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01742-1_2
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DOI: https://doi.org/10.1007/978-3-642-01742-1_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01741-4
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