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Approximation of maps into spheres by regulous maps

Published 15 Jun 2017 in math.AG | (1706.04865v1)

Abstract: Let $X$ be a compact real algebraic set of dimension $n$. We prove that every Euclidean continuous map from $X$ into the unit $n$-sphere can be approximated by regulous map. This strengthens and generalizes previously known results.

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