Simplicial Homology Groups

  • Fred H. Croom
Part of the Undergraduate Texts in Mathematics book series (UTM)


Having defined polyhedron, complex, and orientation for complexes in the preceding chapter, we are now ready for the precise definition of the homology groups. Intuitively speaking, the homology groups of a complex describe the arrangement of the simplexes in the complex thereby telling us about the “holes” in the associated polyhedron.


Homology Group Betti Number Quotient Group Homology Class Free Abelian Group 
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Copyright information

© Springer-Verlag, New York Inc. 1978

Authors and Affiliations

  • Fred H. Croom
    • 1
  1. 1.The University of the SouthSewaneeUSA

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