N-Fold Cech Derived Functors and Generalised Hopf Type Formulas

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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.
LaTex, 30 pages, uses xypic

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K-Theory and Homology, Category Theory, 18G50, 18G10

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http://salesiana.dossiersoluciones.com/handle/123456789/66695

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303050
 http://arxiv.org/abs/math/0303050

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arXiv