  We investigate the topology of the completed 2dF Galaxy Redshift Survey,
drawing two flux-limited samples of the local Universe from the 2dFGRS
catalogue, which contains over 220,000 galaxies at a median redshift of z =
0.11. The samples are cut at z = 0.2 and corrected for selection effects. We
then use the three-dimensional genus statistic to probe the connectedness of
the galaxy distribution on scales ranging from 8 to 20 Mpc, and compare these
measurements with the analytical result for a Gaussian random density field, a
generic prediction of inflationary models. We demonstrate consistency with
inflation on the range of scales considered. We then introduce a
parameterisation of the analytic genus curve formula that is sensitive to
asymmetries in genus number as a function of density and use it to demonstrate
that such phenomena are ruled out with 95% confidence between 8 and 16 Mpc.
