On the computability of the p-local homology of twisted cartesian products of Eilenberg-Mac Lane spaces
نویسندگان
چکیده
Working in the framework of the Simplicial Topology, a method for calculating the p-local homology of a twisted cartesian product X(π,m, τ, π′, n) = K(π,m)×τ K(π′, 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(π,m) and K(π′, n)), then M is a DGA-algebra. Finally, in the special case K(π, 1) ↪→ X p → K(π′, n), we prove that M can be a small twisted tensor product.
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