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Ordinary Homology Theory

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Fundamentals of Algebraic Topology

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 270))

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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.

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Weintraub, S.H. (2014). Ordinary Homology Theory. In: Fundamentals of Algebraic Topology. Graduate Texts in Mathematics, vol 270. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1844-7_4

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