Article contents
Subdivisions of Simplicial Complexes Preserving the Metric Topology
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $\left| K \right|$ be the metric polyhedron of a simplicial complex
$K$. In this paper, we characterize a simplicial subdivision
${{K}^{\prime }}$ of
$K$ preserving the metric topology for
$\left| K \right|$ as the one such that the set
${{K}^{\prime }}(0)$ of vertices of
${{K}^{\prime }}$ is discrete in
$\left| K \right|$. We also prove that two such subdivisions of
$K$ have such a common subdivision.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2012
References
- 6
- Cited by