  Let Omega subset of C^d be an open set and Km, m = 1, 2, . . . an exhaustion
of Omega by compact subsets of Omega. We set Omega_m = int(Km) and let
Xm(Omega_m) be a topological space of holomorphic functions on Omega_m between
A^ infinity (Omega_m) and H(Omega_m). Then we show that the projective limit of
the family Xm(Omega_m), m = 1, 2, . . . , under the restriction maps is
homeomorphic and linearly isomorphic to the Frechet space H(Omega),
idependently of the choice of the spaces Xm(Omega_m).
