GeomTop Seminar: [30 min incl Q&A] Triangulating submanifolds: An elementary and quantified version of Whitneys method
Date
Wednesday, June 19, 2019 13:30 - 14:45
Speaker
Mathijs WINTRAECKEN
Location
Mondi Seminar Room 3, Central Building
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Herbert Edelsbrunner
Contact
The first insightful geometric and constructive proof of the existence of a triangulation of any smooth manifold was given by Hassler Whitney. We quantize Whitneys construction (in terms of the reach of the manifold) 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.
Joint work with Jean-Daniel Boissonnat and Siargey Kachanovich.