  Generalising Segal's approach to 1-fold loop spaces, the homotopy theory of
$n$-fold loop spaces is shown to be equivalent to the homotopy theory of
reduced $\Theta_n$-spaces, where $\Theta_n$ is an iterated wreath product of
the simplex category $\Delta$. A sequence of functors from $\Theta_n$ to
$\Gamma$ allows for an alternative description of the Segal-spectrum associated
to a $\Gamma$-space. In particular, each Eilenberg-MacLane space $K(\pi,n)$ has
a canonical reduced $\Theta_n$-set model.
