English

Equipartitions of a Mass in Boxes

Combinatorics 2007-07-24 v2 Algebraic Topology

Abstract

The aim of this paper is to provide the sufficient condition for a mass distribution in R^d to admit an equipartition with a collection of hyperplanes some of which are parallel. The results extend the previously obtained results for the equipartitions with non-parallel hyperplanes.

Cite

@article{arxiv.math/0611387,
  title  = {Equipartitions of a Mass in Boxes},
  author = {Sinisa Vrecica},
  journal= {arXiv preprint arXiv:math/0611387},
  year   = {2007}
}

Comments

Extended version with some new result and a little bit of motivation added

R2 v1 2026-07-22T17:46:14.824Z