Geodesic
An algorithmic approach to Dold-Puppe complexes
Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 301-326.

Voir la notice de l'article provenant de la source International Press of Boston

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 $F$.
DOI : 10.4310/HHA.2010.v12.n1.a15
Classification : 18G10, 18G30
Keywords: Dold-Puppe complex, simplicial module, cross-effect functor 
@article{HHA_2010_12_1_a15,
     author = {Bernhard K\"ock and Ramesh Satkurunath},
     title = {An algorithmic approach to {Dold-Puppe} complexes},
     journal = {Homology, homotopy, and applications},
     pages = {301--326},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2010},
     doi = {10.4310/HHA.2010.v12.n1.a15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a15/}
}
TY  - JOUR
AU  - Bernhard Köck
AU  - Ramesh Satkurunath
TI  - An algorithmic approach to Dold-Puppe complexes
JO  - Homology, homotopy, and applications
PY  - 2010
SP  - 301
EP  - 326
VL  - 12
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a15/
DO  - 10.4310/HHA.2010.v12.n1.a15
LA  - en
ID  - HHA_2010_12_1_a15
ER  - 
%0 Journal Article
%A Bernhard Köck
%A Ramesh Satkurunath
%T An algorithmic approach to Dold-Puppe complexes
%J Homology, homotopy, and applications
%D 2010
%P 301-326
%V 12
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a15/
%R 10.4310/HHA.2010.v12.n1.a15
%G en
%F HHA_2010_12_1_a15
Bernhard Köck; Ramesh Satkurunath. An algorithmic approach to Dold-Puppe complexes. Homology, homotopy, and applications, Tome 12 (2010) no. 1, pp. 301-326. doi : 10.4310/HHA.2010.v12.n1.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2010.v12.n1.a15/

Cité par Sources :