Title: On superpositions of continuous functions
Authors: A.A. Agrachev
Journal title: Mathematical Notes
Year: 1974
Issue: 4
Volume: 16
Pages: 897–900
Citation:
A. A. Agrachev, “On superpositions of continuous functions”, Mat. Zametki, 16:4 (1974), 517–522
Abstract:
We show that if is an arbitrary countable set of continuous functions of
variables, then there exists a continuous, and even infinitely smooth, function
such that
for any function
from
and arbitrary continuous functions
and
depending on a single variable.
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