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Topological Dimension of Polyhedra

  • Michel CoornaertEmail author
Chapter
  • 1.7k Downloads
Part of the Universitext book series (UTX)

Abstract

In this chapter, we introduce the notion of a simplicial complex of \(\mathbb {R}^n\) and that of a polyhedron. A simplicial complex is a finite assembly of simplices and a polyhedron is a topological space that is homeomorphic to some simplicial complex..

Keywords

Simplicial Complex Topological Dimension Combinatorial Dimension Geometric Realization Open Star 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Supplementary material

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institut de Recherche Mathématique AvancéeUniversity of StrasbourgStrasbourgFrance

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