
handle: 11441/126381
Working in the framework of the Simplicial Topology, a method for calculating the p-local homology of a twisted cartesian product X( , m, , 0, n) = K( ,m)× K( 0, n) of Eilenberg-Mac Lane spaces is given. The chief technique is the construction of an explicit homotopy equivalence between the normalized chain complex of X and a free DGA-module of finite type M, via homological perturbation. If X is a commutative simplicial group (being its inner product the natural one of the cartesian product of K( ,m) and K( 0, n)), then M is a DGA-algebra. Finally, in the special case K( , 1) ,! X p! K( 0, n), we prove that M can be a small twisted tensor product.
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