arXiv subjects
Publications and source records attributed to Ramesh Satkurunath.
We compute the derived functors of the third symmetric-power functor and their cross-effects for certain values. These calculations match predictions by the first named author and largely prove them in general.
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 Γand 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.