Abstract
we are now ready to extend the definition of homology to more general coefficients. In this framework the homology considered in the last chapter appears as the special case of integral coefficients. The extension is done in a purely algebraic way. Given a chain complex C and an abelian group G, their tensor product is the chain complex C ⊗ G = {C q ⊗ G, ∂ q ⊗ 1}, and the homology of C ⊗ G is defined to be the homology of C, with coefficients G.
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© 1966 Springer-Verlag New York, Inc.
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Spanier, E.H. (1966). Products. In: Algebraic Topology. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9322-1_6
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DOI: https://doi.org/10.1007/978-1-4684-9322-1_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94426-5
Online ISBN: 978-1-4684-9322-1
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