Convexity 1 - Homework 7

 

Undergraduate questions:

  1. Lay Question 6.2
  2. Lay Question 6.8
  3. Suppose that for each three of a finite family of convex sets in the plane, there is a disc of radius r that intersects all three sets. Prove that there is a disc of radius r that intersects all members of the family.

Additional graduate questions:

  1. Lay Question 6.6
  2. Lay Question 6.9
  3. Lay Question 6.19