I have another question about laminations on surfaces. As usual let $\mathcal{S}$ be the set of homotopy classes of simple closed curves in $S$ and $\mathcal{PML}\_0(S)$ be the set of projective classes of measured geodesic laminations on a surface $S$. I know there is an injective map


$i:\mathcal{S}\rightarrow \mathcal{PML}\_0(S)$


which associates to $[\gamma]$ the lamination with support the geodesic representative and with measure a Dirac measure of any weight.


My question is the following: **How can I prove that $i(\mathcal{S})$ is dense in $\mathcal{PML}\_0(S)$?** Maybe someone can point me out a reference..


Thank you very much



Why simple closed curves are dense in $\mathcal{PML}_0(S)$?
See [McMullen's 2005 note](http://www.math.harvard.edu/~ctm/home/text/class/harvard/275/05/html/home/course/course.pdf)s, Cor 2.4 Another proof can be found in Thurston's notes (chapter 8).


