Cohomology Theory of Abelian Groups

نویسنده

  • SAUNDERS MACLANE
چکیده

This note will present certain algebraic results obtained by Samuel Eilenberg and the author in a study of the relations between homotopy and homology groups of a topological space. These results yield a homology theory for any abelian group II, in which the low dimensional homology and cohomology groups of n correspond to familiar constructions on II. They depend upon the application of the methods of algebraic topology to algebraic systems. Some of the topological aspects of these constructions are presented by Eilenberg in another note in these Proceedings. An abstract cell complex if is a sequence

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تاریخ انتشار 2010