Bourgain's slicing problem is resolved: every volume-one convex body in R^n has a hyperplane section of (n-1)-volume at least a universal constant c > 0.
Proceedings of the International Congress of Mathematicians (ICM Berkeley 19 86), Amer
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Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound
Bourgain's slicing problem is resolved: every volume-one convex body in R^n has a hyperplane section of (n-1)-volume at least a universal constant c > 0.