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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 C 1 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.