English

Vector valued functions not constant on connected sets of critical points

Geometric Topology 2016-09-07 v1 Classical Analysis and ODEs

Abstract

Whitney type examples of maps fCk(m,n)f\in C^k(\real^m,\real^n) for a maximal possible real kk, and multidimensional space-filling curves with special properties are constructed.

Keywords

Cite

@article{arxiv.math/0404404,
  title  = {Vector valued functions not constant on connected sets of critical points},
  author = {Azat Ainouline},
  journal= {arXiv preprint arXiv:math/0404404},
  year   = {2016}
}

Comments

14 pages, 9 figures