Consequences of the Eilenberg–Steenrod Axioms



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.


Abelian Group Topological Space Homology Group Full Subcategory Homotopy Type 
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© Springer India 2016

Authors and Affiliations

  1. 1.Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC)KolkataIndia

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