An algorithmic approach to Dold-Puppe complexes
Copyright policy )An algorithmic approach to Dold-Puppe complexes
A Dold-Puppe complex is the image NF��(C.) of a chain complex C. under the composition of the functors ��, F and N where ��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 ��(C.). The second half gives an algorithm that allows the explicit calculation of the Dold-Puppe complex NF��(C.) in terms of the cross-effect functors of F.
21 pages
- University of Southampton United Kingdom
13D25, cross-effect functor, simplicial module, K-Theory and Homology (math.KT), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 18G10, 510, 004, 18G30, Dold-Puppe complex, Mathematics - K-Theory and Homology, FOS: Mathematics, 13D25; 18G10; 18G30
13D25, cross-effect functor, simplicial module, K-Theory and Homology (math.KT), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 18G10, 510, 004, 18G30, Dold-Puppe complex, Mathematics - K-Theory and Homology, FOS: Mathematics, 13D25; 18G10; 18G30
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