# A positive answer to the Busemann-Petty problem in three dimensions

### Abstract

We prove that in $\mathbb{E}^3$ the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer. Together with other results, this settles the problem in each dimension.

DOI

https://doi.org/10.2307/2118606

## Authors

Richard J. Gardner