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A condition for isotopic approximation

Frédéric Chazal 1 David Cohen-Steiner
1 GEOMETRICA - Geometric computing
CRISAM - Inria Sophia Antipolis - Méditerranée
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.
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Submitted on : Tuesday, May 23, 2006 - 6:24:11 PM
Last modification on : Friday, February 23, 2018 - 2:20:12 PM
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  • HAL Id : inria-00071648, version 1



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



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