English

Topological stability of continuous functions with respect to averagings

General Topology 2017-10-19 v1 Geometric Topology Statistics Theory Statistics Theory

Abstract

We present sufficient conditions for topological stability of continuous functions f:RRf:\mathbb{R}\to\mathbb{R} having finitely many local extrema with respect to averagings by discrete measures with finite supports.

Keywords

Cite

@article{arxiv.1509.06064,
  title  = {Topological stability of continuous functions with respect to averagings},
  author = {Sergiy Maksymenko and Oksana Marunkevych},
  journal= {arXiv preprint arXiv:1509.06064},
  year   = {2017}
}

Comments

11 pages