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

Emil Saucan; Meir Katchalski

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

Geometric Topology 2010-05-12 v1 Differential Geometry

Authors: Emil Saucan , Meir Katchalski

Abstract

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.

Keywords

triangulations manifolds surfaces and embeddings

Cite

@article{arxiv.0812.0456,
  title  = {The existence of thick triangulations -- an "elementary" proof},
  author = {Emil Saucan and Meir Katchalski},
  journal= {arXiv preprint arXiv:0812.0456},
  year   = {2010}
}

Comments

7 pages Short note

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