Dual central point theorems and their generalizations

Abstract

We prove some analogues of the central point theorem and Tverberg's theorem, where instead of points, we consider hyperplanes or affine flats of given dimension.

This is a revised version, compared to the journal publication. Some errors were corrected, and references were added

Cited by in corpus (4)

• Equipartition of a measure by $(Z_p{)}^k$-invariant fans
• Tverberg-type theorems for intersecting by rays
• Analogues of the central point theorem for families with $d$-intersection property in ${\mathbb{R}}^d$
• Projective center point and Tverberg theorems