Homology of Polyhedra

Part of the CMS Books in Mathematics book series (CMSBM)


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.


Simplicial Complex Chain Complex Homology Group Free Abelian Group Geometric Realization 

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© 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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