English

Bisecting measures with hyperplane arrangements

Algebraic Topology 2020-11-04 v2 Metric Geometry

Abstract

We show that when nn is a power of two, any nDnD measures in Rn\mathbb{R}^n can be bisected by an arrangement of DD hyperplanes.

Keywords

Cite

@article{arxiv.1803.02842,
  title  = {Bisecting measures with hyperplane arrangements},
  author = {Alfredo Hubard and Roman Karasev},
  journal= {arXiv preprint arXiv:1803.02842},
  year   = {2020}
}

Comments

7 pages

R2 v1 2026-06-23T00:45:37.658Z