Cohomology

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

Abstract

In Sect. II.5, we have seen that the homology groups H n (K; ) of an oriented simplicial complex K, with rational coefficients, have the structure of vector spaces and may therefore be dualized. The possibility of dualizing such vector spaces led mathematicians to ask whether it was also possible to “dualize” the homology groups with coefficients in a different Abelian group G.

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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