Loop-space homology
= Loop-space homology
{title2=$H_*(\Omega X)$}
Loop-space homology is the <homology> of the based <loop space>. It also carries the Pontryagin product induced by concatenation of loops. For $n>2$, a <Morse theory> cell structure on $\Omega S^n$ has one cell in each dimension $j(n-1)$, so its integer homology is $\mathbb Z$ in those dimensions and zero elsewhere.