The covering numbers and "low M*-estimate" for quasi-convex bodies

This article gives estimates on the covering numbers and diameters of rando m proportional sections and projections of quasi-convex bodies in R-n. Thes e results were known for the convex case and played an essential role in th e development of the theory. Because duality relations cannot be applied in the quasi-convex setting, new ingredients were introduced that give new un derstanding for the convex case as well.