HPT and Cocyclic Operations

Rocio Gonzalez-Diaz and Pedro Real

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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