We reinterpret the classical theory of cocyclic operations in terms of permutations and homotopy equivalences of explicit chains. The essential tools we use are Homological Perturbation Theory and Eilenberg--Zilber Theorem. The main objective of this technique is the final identification of cohomology operations at cochain level.
Homology, Homotopy and Applications, Vol. 7(2005), No. 2, pp. 95-108
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