A condition for isotopic approximation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports Year : 2003

A condition for isotopic approximation

Frédéric Chazal
David Cohen-Steiner
  • Function : Author
  • PersonId : 833472

Abstract

In this note, we show that if two surfaces in are homeomorphic, then a simple and purely topological condition is sufficient to ensure the existence of an isotopy between them. When the surfaces are connected, the condition is merely that one surface is contained in some topological thickening of the other and separates the two boundary components of that thickening. The proof of this result is based on basic 3-manifold topology.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-4931.pdf (86.36 Ko) Télécharger le fichier
Loading...

Dates and versions

inria-00071648 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071648 , version 1

Cite

Frédéric Chazal, David Cohen-Steiner. A condition for isotopic approximation. RR-4931, INRIA. 2003. ⟨inria-00071648⟩
109 View
17164 Download

Share

Gmail Facebook Twitter LinkedIn More