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Chain complex

In homological algebra, a chain complex is a sequence of abelian groups or modules A0, A1, A2... connected by homomorphisms dn : An -> An-1, such that the composition of any two consecutive maps is zero: dn o dn+1 = 0 for all n. Chain complexes are mainly used to define homology and cohomology.

Examples from topology, group theory...



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Thomas a Kempis

... their "exercises." John Wesley and John Newton put it among the works that influenced them at their conversion. General Gordon carried it with him to the battlefield. ...

 
 
 
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