  In Sternfeld's work on Kolmogorov's Superposition Theorem appeared the
combinatorial-geometric notion of a basic set and a certain kind of arrays.
  A subset $X \subset \mathbb R^n$ is basic if any continuous function $X\to
\mathbb R$ could be represented as the sum of compositions of continuous
functions $\mathbb R\to \mathbb R$ and projections to the coordinate axes.
  The definition of a Sternfeld array will be presented in the paper.
  Sternfeld's Arrays Theorem. If a closed bounded subset $X \subset \mathbb
R^{2n}$ contains Sternfeld arrays of arbitrary large size then $X$ is not
basic.
  The paper provides a simpler proof of this theorem.
