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

Mathematics – Geometric Topology

Scientific paper

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7 pages Short note

Scientific paper

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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