An algorithmic approach to Dold-Puppe complexes
An algorithmic approach to Dold-Puppe complexes
A Dold-Puppe complex is the image NF\Gamma(C.) of a chain complex C. under the composition of the functors \Gamma, F and N where \Gamma 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 \Gamma(C.). The second half gives an algorithm that allows the explicit calculation of the Dold-Puppe complex NF\Gamma(C.) in terms of the cross-effect functors of F.
301-326
Satkurunath, Ramesh
568a84d4-2ea8-4920-b5bd-f419089f6b31
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
June 2010
Satkurunath, Ramesh
568a84d4-2ea8-4920-b5bd-f419089f6b31
Koeck, Bernhard
84d11519-7828-43a6-852b-0c1b80edeef9
Satkurunath, Ramesh and Koeck, Bernhard
(2010)
An algorithmic approach to Dold-Puppe complexes.
Homology, Homotopy and Applications, 12 (1), .
Abstract
A Dold-Puppe complex is the image NF\Gamma(C.) of a chain complex C. under the composition of the functors \Gamma, F and N where \Gamma 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 \Gamma(C.). The second half gives an algorithm that allows the explicit calculation of the Dold-Puppe complex NF\Gamma(C.) in terms of the cross-effect functors of F.
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Submitted date: April 2009
Accepted/In Press date: April 2009
Published date: June 2010
Organisations:
Pure Mathematics
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Local EPrints ID: 45903
URI: http://eprints.soton.ac.uk/id/eprint/45903
PURE UUID: c1b49a3f-3177-461f-a776-7111d30f0bd7
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Date deposited: 25 Apr 2007
Last modified: 16 Mar 2024 03:22
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Author:
Ramesh Satkurunath
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