chain complex

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chain complex

[′chān ‚käm‚pleks]
(mathematics)
A sequence {Cn }, -∞ <>n < ∞,="" of="" abelian="" groups="" together="" with="" a="" sequence="" of="" boundary="" homomorphisms="">dn : CnCn-1such that dn-1° dn = 0 for each n.
References in periodicals archive ?
After a chapter on general preliminaries, chapters cover differential calculus of boundary perturbations, the implicit function theorem, bifurcation problems, the transversality theorem, generic perturbation of the boundary, boundary operators for second-order elliptic equations, and the method of rapidly oscillating solutions.