Very cool. The next step would be a vacuum that empties itself. I'd opt for incorporating a docking/charging station into a trash can, so it empties every time it goes back to charge, and vice versa. Though since it's Dyson, it'd probably be a sleek auto-open, compacting trashcan.
I wonder what kinds of particles are re-introduced to the air between the 0.5 um size this vacuum filters and a traditional HEPA filter which excludes particles down to 0.3 um.