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Homology of Polyhedra

  • Davide L. Ferrario
  • Renzo A. Piccinini
Chapter
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

In Sect. II.2, we have defined polyhedra as geometric realizations of (finite) simplicial complexes. We have also seen that polyhedra are compact topological spaces. We shall indicate with P the category of polyhedra and continuous functions between them; clearly, P is a subcategory of Top.

Keywords

Simplicial Complex Chain Complex Homology Group Free Abelian Group Geometric Realization 
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.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Dipartimento di Matematica e ApplicazioniUniversità di Milano-BicoccaMilanoItaly
  2. 2.Department of Mathematics and StatisticsDalhousie UniversityHalifaxCanada

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