Triangulating Submanifolds: An Elementary and Quantified Version of Whitney’s Method
Triangulating Submanifolds: An Elementary and Quantified Version of Whitney’s Method
Abstract We quantise Whitney’s construction to prove the existence of a triangulation for any $$C^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>C</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> manifold, so that we get an algorithm with explicit bounds. We also give a new elementary proof, which is completely geometric.