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1. CMB 2011 (vol 55 pp. 157)
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Subdivisions of Simplicial Complexes Preserving the Metric Topology Let $|K|$ be the metric polyhedron of a simplicial complex $K$.
In this paper,
we characterize a simplicial subdivision $K'$ of $K$
preserving the metric topology for $|K|$ as the one such that
the set $K'{}^{(0)}$ of vertices of $K'$ is discrete in $|K|$.
We also prove that two such subdivisions of $K$
have such a common subdivision.
Keywords:metric topology, simplicial complex, admissible (or proper) subdivision, admissible PL homeomorphism |