  We show that the glass transition predicted by the Mode-Coupling Theory (MCT)
is a critical phenomenon with a diverging length and time scale associated to
the cooperativity of the dynamics. We obtain the scaling exponents nu and z
that relate space and time scales to the distance from criticality, as well as
the scaling form of the critical four-point correlation function. However, both
these predictions and other well known MCT results are mean-field in nature and
are thus expected to change below the upper critical dimension dc=6, as
suggested by different forms of the Ginzburg criterion.
