(1) A.Razmadze Mathematical Institute, Georgian Academy of Sciences, M.Alexidze St. 1, Tbilisi, 380093, Georgia;(2) Mathematics Division, School of Informatics, University of Wales Bangor, Bangor, Gwynedd, LL57 1UT, UK
Abstract:
The notion of n-fold Čech derived functors is introduced and studied. This is illustrated using the n-fold Čech derived functors of the nilization functors Zk. This gives a new purely algebraic method for the investigation of the Brown–Ellis generalised Hopf formula for the higher integral group homology and for its further generalisation. The paper ends with an application to algebraic K-theory. (Received: December 2004)