English

Approximation of maps into spheres by regulous maps

Algebraic Geometry 2017-06-16 v1

Abstract

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

Keywords

Cite

@article{arxiv.1706.04865,
  title  = {Approximation of maps into spheres by regulous maps},
  author = {Maciej Zieliński},
  journal= {arXiv preprint arXiv:1706.04865},
  year   = {2017}
}
R2 v1 2026-06-22T20:19:43.939Z