On the computability of the p-local homology of twisted cartesian products of Eilenberg-Mac Lane spaces (1999)
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BibTeX
@MISC{Alvarez99onthe,
author = {V. Alvarez and J.A. Armario and P. Real},
title = {On the computability of the p-local homology of twisted cartesian products of Eilenberg-Mac Lane spaces},
year = {1999}
}
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Abstract
Working in the framework of the Simplicial Topology, a method for calculating the p-local homology of a twisted cartesian product X(#, m, #, # # , n) = K(#, m) # K(# # , 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(# # , n)), then M is a DGA-algebra. Finally, in the special case K(#, 1) ## X K(# # , n), we prove that M can be a small twisted tensor product. 1
