Homology, Homotopy and Applications
Volume 7 (2005)
Proceedings of a Special Session of a Joint RSME-AMS Meeting at Sevilla University
HPT and cocyclic operations
Pages: 95 – 108
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.
cohomology, cocyclic operations, homological perturbation theory
2010 Mathematics Subject Classification
Primary 55S10. Secondary 05Exx.