Abstract
This chapter continues the study of homology and cohomology theories by considering some immediate consequences of the Eilenberg–Steenrod axioms: H(1)–H(7) and C(1)–C(7) given by Eilenberg and Steenrod for homology and cohomology theories described in Chap. 12. Finally, this chapter establishes a close connection between cofibrations and homology theory, and computes the ordinary homology groups of \(S^n\) with coefficients in an abelian group G.
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