On functions of three variables

Part of the Vladimir I. Arnold - Collected Works book series (ARNOLD, volume 1)


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).


Coincident Point Finite System Continuous Real Function 13th Problem Finite Complex 
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  1. [1]
    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)zbMATHMathSciNetGoogle Scholar
  2. [2]
    K. Menger, Kurventheorie, Teubner, Leipzig, 1932.Google Scholar

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