English

A pasting lemma for Lipschitz functions

Classical Analysis and ODEs 2021-09-20 v1 General Topology

Abstract

We give a necessary and sufficient condition ensuring that any function which is separately Lipschitz on two fixed compact sets is Lipschitz on their union.

Keywords

Cite

@article{arxiv.2109.08209,
  title  = {A pasting lemma for Lipschitz functions},
  author = {Matthew D. Kvalheim and Paul Gustafson and Samuel A. Burden},
  journal= {arXiv preprint arXiv:2109.08209},
  year   = {2021}
}

Comments

4 pages

R2 v1 2026-06-24T06:03:10.265Z