Distribution of sizes (r_γ) and distances to core ATLAS^3D galaxies (red squares). The blue solid line shows the HST limit of r_γ <  0.1″, assumed for all galaxies that have γ′ > 0.5. Below this line, cores cannot formally be detected. Circles on the line are the upper limits on possible core sizes for galaxies presented here with values from Table 2. The histogram at the top shows the fraction of core-less galaxies in bins of distance. There is no evidence for an increase of the fraction of core-less galaxies as a result of resolution effects.