N-Fold Cech Derived Functors and Generalised Hopf Type Formulas
K-Theory and Homology
2007-05-23 v1 Category Theory
Abstract
In 1988, Brown and Ellis published [3] a generalised Hopf formula for the higher homology of a group. Although substantially correct, their result lacks one necessary condition. We give here a counterexample to the result without that condition. The main aim of this paper is, however, to generalise this corrected result to derive formulae of Hopf type for the n-fold Cech derived functors of the lower central series functors Z_k. The paper ends with an application to algebraic K-theory.
Keywords
Cite
@article{arxiv.math/0303050,
title = {N-Fold Cech Derived Functors and Generalised Hopf Type Formulas},
author = {Guram Donadze and Nick Inassaridze and Timothy Porter},
journal= {arXiv preprint arXiv:math/0303050},
year = {2007}
}
Comments
LaTex, 30 pages, uses xypic