The Hilton-Milnor Theorem Seminar

In this talk we will state the Hilton-Milnor Theorem which gives a decomposition of, $\Omega\Sigma X$ the loop suspension of the based topological space $X$. We will state the theorem in its "full glory", but only give a proof of it on the level of spaces. To do this we will use the James Construction and a couple of "well known" homotopy equivalences. If time permits, we will look at one or two ways in which we can use this result in algebraic topology.

Don't expect too much in the way of details in this talk! The Hilton-Milnor Theorem is a rather technical theorem which takes a long time to properly prove, so I'm sorry in advanced for glossing over quite a lot!