Approximation of maps into spheres by piecewise-regular maps of class C^k
Algebraic Geometry
2018-12-17 v3
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 C^k, where k is an arbitrary integer.
Cite
@article{arxiv.1808.07087,
title = {Approximation of maps into spheres by piecewise-regular maps of class C^k},
author = {Marcin Bilski},
journal= {arXiv preprint arXiv:1808.07087},
year = {2018}
}
Comments
14 pages; minor modifications. arXiv admin note: text overlap with arXiv:1705.04525 by other authors