Approximation and the topology of rationally convex sets
Abstract
Considering a mapping g holomorphic on a neighbourhood of a rationally convex set K in
C
n
, and range into the complex projective space
P
m
, the main objective of this paper is to show that we can uniformly approximate g on K by rational mappings defined from
C
n
into
P
m
. We only need to ask that the second Cech cohomology group
H
ˇ
2
(K)
vanishes.