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Approximation of maps into spheres by piecewise-regular maps of class C^k

Published 21 Aug 2018 in math.AG | (1808.07087v3)

Abstract: The aim of this paper is to prove that every continuous map from a compact subset of a real algebraic variety into a sphere can be approximated by piecewise-regular maps of class Ck, where k is an arbitrary integer.

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