  We analyze the asymptotic cones of Teichm\"uller space with the Teichm\"uller
metric, $(\mathcal{T}(S),d_T)$. We give a new proof of a theorem of
Eskin-Masur-Rafi which bounds the dimension of quasiisometrically embedded
flats in $(\mathcal{T}(S),d_T)$. Our approach is an application of the ideas of
Behrstock and Behrstock-Minsky to the quasiisometry model we previously built
for $(\mathcal{T}(S),d_T)$.
