The Existence of Thick Triangulations - An “Elementary” Proof
The Existence of Thick Triangulations - An “Elementary” Proof
We provide an alternative, simpler proof of the existence of thick triangulations for noncompact $\mathcal{C}^1$ manifolds. Moreover, this proof is simpler than the original one given in \cite{pe}, since it mainly uses tools of elementary differential topology. The role played by curvatures in this construction is also emphasized.