Approximation of maps into spheres by regulous maps

2017/06/15 by Zieliński, Maciej
#14P05 #14P25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.04865

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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