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A fixed point approach to homological perturbation theory
Author(s):
Donald W.
Barnes;
Larry A.
Lambe
Journal:
Proc. Amer. Math. Soc.
112
(1991),
881-892.
MSC:
Primary 55U15
Correction(s):
Proc. Amer. Math. Soc. 129 (2001), 941-941.
MathSciNet review:
1057939
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Abstract:
We show that the problem addressed by classical homological perturbation theory can be reformulated as a fixed point problem leading to new insights into the nature of its solutions. We show, under mild conditions, that the solution is essentially unique.
References:
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Additional Information:
DOI:
10.1090/S0002-9939-1991-1057939-0
PII:
S0002-9939-1991-1057939-0
Keywords:
Chain homotopy,
homological perturbation,
fixed point,
iterative methods
Copyright of article:
Copyright
1991,
American Mathematical Society
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