Smash products for secondary homotopy groups
Algebraic Topology
2009-08-04 v2 Category Theory
Abstract
We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered. In particular we prove a formula for the crossed effect of the cup-one product operation on unstable homotopy groups of spheres which was claimed by Barratt-Jones-Mahowald.
Keywords
Cite
@article{arxiv.math/0604031,
title = {Smash products for secondary homotopy groups},
author = {Hans-Joachim Baues and Fernando Muro},
journal= {arXiv preprint arXiv:math/0604031},
year = {2009}
}
Comments
We give a clearer description of the tensor product of symmetric sequences of quadratic pair modules