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Triangulating submanifolds: An elementary and quantified version of Whitney's method

Jean-Daniel Boissonnat 1, 2 Siargey Kachanovich 2, 1 Mathijs Wintraecken 2, 1
2 DATASHAPE - Understanding the Shape of Data
CRISAM - Inria Sophia Antipolis - Méditerranée , Inria Saclay - Ile de France
Abstract : We quantize Whitney's construction to prove the existence of a triangulation for any C2 manifold, so that we get an algorithm with explicit bounds. We also give a new elementary proof, which is completely geometric.
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https://hal.inria.fr/hal-01950149
Contributor : Jean-Daniel Boissonnat <>
Submitted on : Monday, December 10, 2018 - 3:46:24 PM
Last modification on : Friday, April 30, 2021 - 9:56:48 AM
Long-term archiving on: : Monday, March 11, 2019 - 3:04:11 PM

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  • HAL Id : hal-01950149, version 1

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Jean-Daniel Boissonnat, Siargey Kachanovich, Mathijs Wintraecken. Triangulating submanifolds: An elementary and quantified version of Whitney's method. 2018. ⟨hal-01950149⟩

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