The Open Mathematics Journal

2009, 2 : 8-11
Published online 2009 March 17. DOI: 10.2174/1874117400902010008
Publisher ID: TOMATJ-2-8

The Existence of Thick Triangulations – An “Elementary” Proof

Emil Saucan and Meir Katchalski
Mathematics Department, Technion, Technion City, Haifa 32000, Israel.

ABSTRACT

We provide an alternative, simpler proof of the existence of thick triangulations for noncompact C1 manifolds. Moreover, this proof is simpler than the original one given in [1], since it mainly uses tools of elementary differential topology. The role played by curvatures in this construction is also emphasized.

Keywords:

Thick triangulation, C1 manifolds, cut locus.