Talk:Whitehead product

It would be good to specify the attaching map

The article, in defining the Whitehead product, states:

"The product $S^{k}\times S^{l}$ can be obtained by attaching a $(k+l)$-cell to the wedge sum

$S^{k}\vee S^{l}$;

the attaching map is a map

$S^{k+l-1}{\stackrel {\phi }{\ \longrightarrow \ }}S^{k}\vee S^{l}.$"

But nothing further is stated about the attaching map.

It would be good to specify how it is defined explicitly, even though this is fairly elementary.

I hope someone knowledgeable in this area can include this information in the article.