They manufacture that stuff in my backyard. Sonic-welded plastic-polymer material. Apparently it's been used by the Army for some time as an instant road - even in total sand, just fill the honeycombs with that same sand and it becomes stiff enough to drive on, because you've pretty much encapsulated the pockets of sand. We helped a homeowner build a pond using the stuff to build up the waterfall area.
The material runs vertically, not laterally, so there would still be stone migrating into the base below, so it may not really address paponte's question. But it's an interesting material, without a doubt. It's used a great deal at golf courses around here, where there are gravel cart paths on steep slopes. Just spread the geoweb out and fill with screenings and you're done.
To address paponte's question, we use a geotextile (not landscape fabric, though they are similar) in poor soil situations as Rex discusses. The main difference I see between a spun-bound landscape fabric and a spun-bound geotextile is the thickness of the material. I think the landsape fabric material is also a bit stiffer and prone to tearing.
This discussion has been included in the site beginner's brick paving page.