On Fox spaces and Jacobi identities
Algebraic Topology
2011-05-11 v2
Abstract
In 1945, R. Fox introduced the so-called Fox torus homotopy groups in which the usual homotopy groups are embedded and their Whitehead products are expressed as commutators. A modern treatment of Fox torus homotopy groups and their generalization has been given and studied. In this note, we further explore these groups and their properties. We discuss co-multiplications on Fox spaces and a Jacobi identity for the generalized Whitehead products and the -Whitehead products.
Cite
@article{arxiv.math/0601368,
title = {On Fox spaces and Jacobi identities},
author = {Marek Golasinski and Daciberg Gonçalves and Peter Wong},
journal= {arXiv preprint arXiv:math/0601368},
year = {2011}
}
Comments
16 pages