In homological algebra, a chain complex is a sequence of abelian groups or modulesA0, A1, A2... connected by homomorphismsdn : 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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... Karenina is a novel by Leo Tolstoy published in 1877 through 1878, set against the background of Russian society of that time. Its theme is the institution of marriage ...