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arxiv: 0812.0456 · v1 · submitted 2008-12-02 · 🧮 math.GT · math.DG

The existence of thick triangulations -- an "elementary" proof

classification 🧮 math.GT math.DG
keywords proofelementaryexistencesimplerthicktriangulationsalternativecite
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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.

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