Homology, Homotopy and Applications

Volume 7 (2005)

Number 2

Proceedings of a Special Session of a Joint RSME-AMS Meeting at Sevilla University

HPT and cocyclic operations

Pages: 95 – 108

DOI: https://dx.doi.org/10.4310/HHA.2005.v7.n2.a5

Authors

Rocio Gonzalez-Diaz (Applied Maths Department, University of Seville, Spain)

Pedro Real (Applied Maths Department, University of Seville, Spain)

Abstract

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.

Keywords

cohomology, cocyclic operations, homological perturbation theory

2010 Mathematics Subject Classification

Primary 55S10. Secondary 05Exx.

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Published 1 January 2005