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Edwin H. Spanier
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Edwin H. Spanier: University of California, Department of Mathematics

Chapter Chapter Five in Algebraic Topology, 1966, pp 210-283 from Springer

Abstract: 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.

Keywords: Exact Sequence; Hopf Algebra; Chain Complex; Short Exact Sequence; Finite Type (search for similar items in EconPapers)
Date: 1966
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DOI: 10.1007/978-1-4684-9322-1_6

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