N-Fold Cech Derived Functors and Generalised Hopf Type Formulas

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dc.creatorDonadze, Guram
dc.creatorInassaridze, Nick
dc.creatorPorter, Timothy
dc.date2003-03-05
dc.date.accessioned2026-07-07T04:55:46Z
dc.date.available2026-07-07T04:55:46Z
dc.descriptionIn 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.
dc.descriptionLaTex, 30 pages, uses xypic
dc.identifierhttps://arxiv.org/abs/math/0303050
dc.identifierhttp://arxiv.org/abs/math/0303050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66695
dc.subjectK-Theory and Homology
dc.subjectCategory Theory
dc.subject18G50, 18G10
dc.titleN-Fold Cech Derived Functors and Generalised Hopf Type Formulas
dc.typetext

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