On Generalized Whitehead Products
Brayton Gray
55Q15, 55P40, 55Q20, 55P99, 55P45
arXiv:0911.3133v2
Department of Mathematics
University of Illinois at Chicago
851 South Morgan Street
Chicago, Illinois 60607-7045
brayton@uic.edu
A symmetric monoidal product G o H is defined on the category of co-H
spaces that are either suspensions or simply connected, together with a
Whitehead product map G o H ---> G v H whose mapping cone is the product
G x H. In particular, G o SX is equivalent to G ^ X. This generalizes
some work of Theriault and allows one to analyze the Whitehead product
structure of co-H spaces.