English

A survey of mass partitions

Combinatorics 2020-12-04 v3 Computational Geometry Geometric Topology

Abstract

Mass partition problems describe the partitions we can induce on a family of measures or finite sets of points in Euclidean spaces by dividing the ambient space into pieces. In this survey we describe recent progress in the area in addition to its connections to topology, discrete geometry, and computer science.

Keywords

Cite

@article{arxiv.2010.00478,
  title  = {A survey of mass partitions},
  author = {Edgardo Roldán-Pensado and Pablo Soberón},
  journal= {arXiv preprint arXiv:2010.00478},
  year   = {2020}
}

Comments

37 pages, 8 figures, 1 table