AN ALGORITHMIC APPROACH TO DOLD-PUPPE COMPLEXES

作者：Satkurunath Ramesh^*; Koeck Bernhard

来源：Homology, Homotopy and Applications, 2010, 12(1): 301-326.

• Dold-Puppe complex
• simplicial module
• cross-effect functor

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.

• 出版日期2010