English

A corrected quantitative version of the Morse lemma

Geometric Topology 2018-10-11 v1

Abstract

There is a gap in the proof of the main theorem in the article [ShCh13a] on optimal bounds for the Morse lemma in Gromov-hyperbolic spaces. We correct this gap, showing that the main theorem of [ShCh13a] is correct. We also describe a computer certification of this result.

Cite

@article{arxiv.1810.04579,
  title  = {A corrected quantitative version of the Morse lemma},
  author = {Sébastien Gouëzel and Vladimir Shchur},
  journal= {arXiv preprint arXiv:1810.04579},
  year   = {2018}
}

Comments

10 pages

R2 v1 2026-06-23T04:35:00.549Z