Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 12, Number 1 (2010), 301-326.
An algorithmic approach to Dold-Puppe complexes
A Dold-Puppe complex is the image NFΓ(C.) of a chain complex C. under the composition of the functors Γ, F and N, where Γ and N are given by the Dold-Kan correspondence and F is a not necessarily linear functor between two abelian categories. The first half of this paper gives an algorithm that streamlines the calculation of Γ(C.). The second half gives an algorithm that allows the explicit calculation of the Dold-Puppe complex NFΓ(C.) in terms of the cross-effect functors of F.
Homology Homotopy Appl., Volume 12, Number 1 (2010), 301-326.
First available in Project Euclid: 28 January 2011
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Satkurunath, Ramesh; Köck, Bernhard. An algorithmic approach to Dold-Puppe complexes. Homology Homotopy Appl. 12 (2010), no. 1, 301--326. https://projecteuclid.org/euclid.hha/1296223831