SCALES OF STRUCTURES AND HOMOGENEITY IN THE UNIVERSE

A low-resolution objective prism redshift survey of southern galaxies (15 < m < 20, z less-than-or-equal-to 0.3) provides 46,000 redshifts with errors 0.010 less-than-or-equal-to sigma-z less-than-or-equal-to 0.013 from which subsamples are drawn for studies of large-scale structures and scales of homogeneity in the universe. The derived mean number density for galaxies with -20.8 less-than-or-equal-to M less-than-or-equal-to -19.2 is 0.024h3 Mpc-3 in a total volume of 1.5 x 10(6)h-3 Mpc3. Maximum density deviations, tested with galaxies -20.8 less-than-or-equal-to M less-than-or-equal-to -20.2 lie between 10% and 30% in comoving test volumes of 5 x 10(4)h-3 Mpc3, shifted over 10(5)h-3 Mpc3. The present data appear to be incompatible with the presence of 100h-1 Mpc voids.