  It has been observed that the clasification into universality classes of
critical behaviour, as established by perturbative renormalization group in the
viscinity of four or six dimensions of space by the epsilon expansion, remains
valid down to three dimensions in all known cases, even when purturbative
renormalisation group fails in three dimensions. In this paper we argue that
this classification into universality classes remains true in lower dimensions
of space, even when purturbative renormalisation group fails, because of the
well known phenomenon of eigenvalue repulsion.
