N-Fold Cech Derived Functors and Generalised Hopf Type Formulas

Details N-Fold Cech Derived Functors and Generalised Hopf Type Formulas N-Fold Cech Derived Functors and Generalised Hopf Type Formulas

2003-03-05

arxiv.org/abs/math/0303050v1

Mathematics

K-Theory and Homology

LaTex, 30 pages, uses xypic

Scientific paper

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.

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