We discuss the possibility of performing a substantial spectroscopic galaxy
redshift survey selected via the 21cm emission from neutral hydrogen using the
Five-hundred metre Aperture Spherical Telescope (FAST) to be built in China. We
consider issues related to the estimation of the source counts and
optimizations of the survey, and discuss the constraints on cosmological models
that such a survey could provide. We find that a survey taking around two years
could detect ~10^7 galaxies with an average redshift of ~0.15 making the survey
complementary to those already carried out at optical wavelengths. These
conservative estimates have used the z=0 HI mass function and have ignored the
possibility of evolution. The results could be used to constrain Gamma =
(Omega_m h) to 5 per cent and the spectral index, n_s, to 7 per cent
independent of cosmic microwave background data. If we also use simulated power
spectra from the Planck satellite, we can constrain w to be within 5 per cent
of -1.Comment: 13 pages, 15 figures, Accepted by MNRAS, minor correction