Bulletin of the
Korean Mathematical Society BKMS

Let $\RR{k}{n}$ denote the space of basepoint-preserving conjugation-equivariant holomorphic maps of degree $k$ from $S^2$ to $\CP{n}$. A map $f: S^2 \rightarrow \CP{n}$ is said to be full if its image does not lie in any proper projective subspace of $\CP{n}$. Let $\RF{k}{n}$ denote the subspace of $\RR{k}{n}$ consisting of full maps. In this paper we determine $H_\ast (\RF{k}{2}; \Zp)$ for all primes $p$.

Keywords: rational function, full map

MSC numbers: Primary 55P35; Secondary 58D15