Homology, Homotopy and Applications

HPT and cocyclic operations

Rocio Gonzalez-Diaz and Pedro Real

Full-text: Open access

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.

Article information

Source
Homology Homotopy Appl., Volume 7, Number 2 (2005), 95-108.

Dates
First available in Project Euclid: 13 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.hha/1139839376

Mathematical Reviews number (MathSciNet)
MR2156309

Zentralblatt MATH identifier
1084.55010

Subjects
Primary: 55S10: Steenrod algebra
Secondary: 05E99: None of the above, but in this section

Citation

Gonzalez-Diaz, Rocio; Real, Pedro. HPT and cocyclic operations. Homology Homotopy Appl. 7 (2005), no. 2, 95--108. https://projecteuclid.org/euclid.hha/1139839376


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