chain complex

(redirected from Boundary operator)

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 ?
The boundary operator is defined by linearity and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Finally, we would like to note that a simplified boundary operator [B.
the boundary operator Q : D (Am) [right arrow] [partial derivative]X is onto.
subject to the boundary condition in which is a general differential operator, a boundary operator, is the known analytical function, is the boundary of the domain and represents differentiation along the normal drawn outwards from .
1/2]( [partial derivative]S), we introduce boundary operators [V.