Hindering systems for convex bodies

This paper is an investigation of hindering systems (in the sense of Mani) and strongly hindering systems for compact convex bodies. The main theorem states that for any compact convex body $M$ there exists a strongly hindering system containing at most $\operatorname {md}M+1$ points. Other properties of hindering systems are also investigated (for smooth bodies, strictly convex bodies, direct vector sums, and so on).