Fundamentals of Algebraic Topology pp 35-54 | Cite as

# Ordinary Homology Theory

Chapter

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## Abstract

In this chapter we continue to proceed axiomatically. We assume now that we have an ordinary homology theory, i.e., one that satisfies the dimension axiom, and we assume in addition that the coefficient group is the integers \(\mathbb{Z}\). Throughout this chapter *H* _{ n }(*X*), or *H* _{ n }(*X*, *A*), will denote such a homology group.

## Keywords

Projective Space Homology Group Algebraic Topology Free Abelian Group Complex Projective Space
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## Copyright information

© Springer International Publishing Switzerland 2014