  The primary goal of this paper is to find a homotopy theoretic approximation
to moduli spaces of holomorphic maps Riemann surfaces into complex projective
space. There is a similar treatment of a partial compactification of these
moduli spaces of consisting of irreducible stable maps in the sense of
Gromov-Witten theory. The arguments follow those from a paper of G. Segal on
the topology of the space of rational functions.
