Definitions and Basic Properties of Homology Theory

  • William S. Massey
Part of the Graduate Texts in Mathematics book series (GTM, volume 70)


This chapter gives formal definitions of the basic concepts of homology theory, and rigorous proofs of their basic properties. For the most part, examples and applications are postponed to Chapter III and subsequent chapters.


Topological Space Boundary Operator Open Covering Homology Group Homotopy Class 


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Copyright information

© Springer-Verlag New York Inc. 1980

Authors and Affiliations

  • William S. Massey
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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