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Reports Year : 2003

A condition for isotopic approximation

Frédéric Chazal
David Cohen-Steiner
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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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Dates and versions

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


  • 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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