>let M be a 2-dimensional closed Rimmanian manifold diffeomorphic  to S^2.
S.B.Myers says "the cut-locus of every point x on is a finite tree."
1-How the set of point  can be a tree ?what are the edgs

2-Is p  a element of cut locus(p)?
I can not find any paper of Myers in this case.
thanks!