Approximation of maps into spheres by regulous maps

2017/09/09 by Maciej Zieliński, M. Zieliński · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory

paper · pdf · doi:10.1007/s00013-017-1092-6

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 a regulous map. This strengthens and generalizes previously known results.

Cited by

• Approximation and homotopy in regulous geometry

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