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Preprints, Working Papers, ... Year : 2023

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

Abstract

We quantize Whitney's construction to prove the existence of a triangulation for any C^2 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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Dates and versions

hal-01950149 , version 1 (10-12-2018)
hal-01950149 , version 2 (12-05-2023)

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Jean-Daniel Boissonnat, Siargey Kachanovich, Mathijs Wintraecken. Triangulating submanifolds: An elementary and quantified version of Whitney's method. 2023. ⟨hal-01950149v2⟩
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